A circle of radius 6 is centered at the origin. Find the length of the portion of the line y = 4 that lies within this circle. (Consider making a sketch to help you!) Give your answer accurate to 3 decimal places. Show all calculations in your written work.

A circle of radius 6 is centered at the origin. Find the length of the portion of the line y = 4 that lies within this circle. (Consider making a sketch to help you!) Give your answer accurate to 3 decimal places. Show all calculations in your written work.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

See similar textbooks

Related questions

Q: A circle has a chord QR with a length of 6 cm. A tangent segment from an external point P has a…

A: This is the figure using the description of the circle.Given,QR = 6 cmPT = 4 cmPR = ?

Q: How high is the point P on parabolic arc tunnel of the span of 20ft and height of 16 feet ,at a…

A: Let x be the horizontal distance from the span and y be the height. Therefore top of height of arch…

Q: The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to…

Q: You are planning to close off a corner of the first quadrant with a line segment 20 units long…

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 4)³, P(1, 5), Q(8, 8) %D

Q: 2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a…

Q: Find the length S of the circular arc. Assume that r 03 meters and 00132". Give your answer in exact…

A: We know that, length of arc with radius=r and angle subtend to the center is α is given by Arc…

Q: Use the diagram below to match the line/segment to its description: В 1. tangent diameter secant…

A: See attached file for a step by step explanation.

Q: A 112 ft tower is located on the side of a mountain that is inclined 18 to the horizontal. A guy…

Q: The radius of a circle is to be measured and its area computed. The error in the measurement of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: An inverted cone (base above the vertex) is 2 m high and has a base radius of 1 /2 m. If the tank is…

A: Given, an inverted cone is 2 m high and has a base radius of ½ m. If the tank is full, then how much…

Q: A line tangent to a circle is always to the radius drawn to its point tangency.

Q: A 135 ft tower is located on the side of a mountain that is inclined 24° to the horizontal. A guy…

A: Consider the given:

Q: A snow tubing hill is 400 ft long and has a 75-ft vertical drop. Find the average angle that the…

A: Given : A snow tubing hill is 400 ft long and has a 75 ft vertical drop. To find : Find the average…

Q: 2. Find the linear speed of a point that moves with a constant speed in a circular motion if the…

A: Given arc length=7.524 miles Time=12 minutes Find the linear speed of a point.

Q: A 266 ft tower is located on the side of a mountain that is inclined 34° to the horizontal. A guy…

A: A 266 ft tower is located on the side of a mountain that is inclined 34° to horizontal. A guy wire…

Q: Given Y Z tangent to OJ at point Y, and mzWYZ = 104°, what is mWXY Y MWXY

Q: Find the measure of the arc indicated. Assume that lines which appear tangent are tangent. 226 ° U S…

A: We have to find the measure of the arc indicated in the given figure.and which option is correct

Q: The tangent to the function y= csc x at x= π/4 and the x- and y- axes form a triangle. Find the area…

Q: A circle of radius 3 centered at the origin.

A: Solution - General equation of a circle is given by - x-h2+y-k2=r2where, (h, k) = center of the…

Q: A 174 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy…

A: Answer is given in next step

Q: 15. Given: YZ is tangent to circle J at point Y and the mzWYZ = 104°, what is the measure of arc…

Q: A 210 ft tower is located on the side of a mountain that is inclined 28 to the horizontal. A guy…

Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 210° (x,y) =…

A: Given, A circle with radius r=10.

Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

Q: 1. The distance betveen two parallel tangents of a circle of radius 4 cm is

A: Given radius of circle

Q: The arc length of the portion of the curve y =e* with 3 <x<5 is

A: Arc length formula for a curve a≤x≤b for f(x)=y is given by, L=∫ab1+dydx2 dx

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from he base…

A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: What is the relationship of two secants intersecting in the exterior of a circle to the measures of…

A: What is the relationship of two secants intersecting in the exterior of a circle to the measures of…

Q: The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to…

Q: 12.6 21

Q: 9. A satellite at point B is 6,400 miles from point A on Earth. Earth's radius is about 4,000 miles.…

Q: Line AB is tangent to circle C at D. If measurement of arc DF = 166 and the measurement of arc DE =…

Q: Find the coordinates of a point on a circle with radius 15 corresponding to an angle of 100° (x.y) =…

A: This question is based on conversion of polar form into Cartesian form.

Q: A reversed curve is to connect two tangents which is parallel to each other and are 200m apart with…

A: According to question given that V=200m, h=800m and Let R1=R2=R Now,…

Q: A 191 ft tower is located on the side of a mountain that is inclined 37 to the horizontal. A guy…

A: we have been given a figure of a tower standing at a height of 191 ft. which is inclined 37° to the…

Q: AC is tangent to circle O at point C. What is the measure of AOC?

Q: Here is a circle with a radius of 15 units whose center is at (0,0) 15

A: Find the point on the circle

Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100,…

Q: 1. y = 1 - x; A(1,0), B(8,-3)

A: According to the company rule, we can answer only the first question and rest can be reposted

Q: In AOPQ, the measure of ZQ=90°, OQ = 13, QP = 84, and PO = 85. What is the value of the tangent of…

A: The tangent function of any angle is equal to the ratio of opposite perpendicular side to the…

Q: Find the coordinates of a point on a circle with radius 15 corresponding to an angle of 320° (x,y) =…

Q: PRIS tangent to circle Q at point R and PS is tangent to circle Q at point S. Determine mZP and mZQ.…

A: Circle tangent property

Q: Line AB is tangent to circle C at D. If measurement of arc DF = 166 and the measurement of arc DE =…

A: Topic:- peroprties of circle

Q: AB is tangent to circle C at B, AB =15 centimeters and the redius of the circle is 8 centimeters.…

A: Tangent line to a circle is a line that touches the circle at exactly one point.

Q: Two tangents are drawn to circle O from external point P. If the major are formed has a measure of…

A: Let m∠P=x°

Q: 4. Use integration to show that the arc length of the circle from (-V3,1) to (V3,1) with the…

Q: Find the length of the arc on a circle of radius r = 9 yards intercepted by a central angle θ= 315°.…

A: Explanation: Given that, radius = 9 yards central angle θ=315° Formula Used: Arc length=2πrθ360

Question

100%

A circle of radius 6 is centered at the origin. Find the length of the portion of the line y = 4 that lies within this
circle. (Consider making a sketch to help you!)
Give your answer accurate to 3 decimal places.
Show all calculations in your written work.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.
A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.
The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.