Answered: 8) In a circle whose radius has length…

Math

Geometry

8) In a circle whose radius has length 3 in., the length of an arc is x in. What is the degree measure of that arc?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 13E: A circle is inscribed in a triangle having sides of lengths 6 in., 8 in., 10 in. If the length of...

See similar textbooks

Related questions

Q: Six congruent circles are arranged in a circle in a way that each circle is tangent to at least two…

Q: If the radius of a circle is 13 in, then what is the area of a sector bounded by a central angle of…

Q: if circles G and are congruent, what can you conclude about OG and OE?

Q: What additional information is needed to prove triangles congruent by HL?

Q: 7. Consider the length of the perpendicular from point to side in the given triangle. Show that

A: The sides and the angles of a triangle are related to each other by the trigonometric functions.…

Q: of a triangle with sides of length

A: Here we have to find the area of the triangle with sides of length 12 and 22 and an included angle…

Q: In circle P with the measure of arc NQ= 54°, find mZNPQ. N

A: Concept : The measure of an arc in degrees is equal to the angle subtended by that arc at the center…

Q: From point P, PA and PB are drawn tangent to circle O at points A and B.If the radius of the circle…

A: the figure drawn from the given information is

Q: Prove that the angle substended by an arc of a circle at the centre is doubled the angle substended…

A: Let O be the center of circle. PQ is an arc subtending ∠POQ at the center O. To prove: ∠POQ=2∠PAQ

Q: What is the area of a triangle with sides of length a and b and with included angle u?

Q: A regular polygon has 7 sides, each measuring 12.5 m. If a circle is inscribed in the polygon,…

Q: Construct a torus by drawing a tube (radius 1) around a horizontal circle with a radius of 5.

Q: Given regular pentagon RSTVQ and equilateral triangle PQR, the length of an apothem (not shown) of…

Q: . If two sides a and b and the included angle C are knownin a triangle, then the area K is found…

A: Two side a and b and angle C of a triangle is given, we have to find formula for area of a triangle

Q: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a) Is it really necessary to construct all three bisectors of the angles of a triangle to…

Q: Can a cube of volume 5 be constructed using only an unmarked straight- edge, a compass, and a unit…

Q: . A six-sided regular polygon is inscribed in a circle of radius 10 cm, find the length of one side…

Q: Suppose that a circle is divided by points A, B, C, and D into four congruent arcs. What is the…

A: Let r be the radius of the circle. Since the arcs formed by the points A, B, C and D are congruent,…

Q: What is the radius of a circle in which a central angle of 150° determines a sector of area 15 in2?

A: Given : Central angle(θ) = 150° sector of area = 15 in2 sector of area = (θ/360°)×πr2…

Q: A regular polygon has 20 sid orior angles of th

A: Sum of all interior angle is for 20 gon sum of all exterior angle for 20-gon?

Q: 1. Given that the yellow segments are midsegments, which set of segments are parallel?

A: We are given that yellow segments are mid-segments. Now, we need to find the segments that are…

Q: circles G and are congruent, what can you conclude about OG and OE?

A: Given question is Circles G and E are congruent, what can you conclude about OG and OE?

Q: segments joining the center of circular faces is

A: Given that In a right circular cylinder, the line segments joining the center of circular faces is…

Q: A circle is inscribed in a polygon if each side of the polygon is tangent to the circle. true or…

A: If all the vertices of a polygon are on the circumference of a circle, the polygon is inscribed in a…

Q: Draw two noncongruent triangles in which each has the area of 8 units?. Moreover, all base and…

A: Given: To draw two noncongruent triangles with an area of 8 units2 Formula : Area of the…

Q: A circle is divided into three arcs of measures 'x', '2x' and '3x.' What

Q: Prove that there is no regular polygon with an interior angle whose measureis 155.

A: To prove: There is no regular polygon whose interior angle is 155°. Concept used: The each interior…

Q: Find the sum of the measures of the internor angles in the fi gure.

A: Consider the figure-

Q: 4. A right cone has a radius of 10 in and a height (not slant height!) of 24 in. What is the SA?

A: If you like the solution then please give it a thumbs up.. The Answer is: Surface Area = 360π…

Q: 30. If BCDE is inscribed in the circle, which of the following is true?

Q: a convex polygon has the verticies A,B,C,D and E. what is the sum of the measures of the interior…

A: Formula for sum of internal angle of the polygon is (2n-4)90 Here n= number of sides of polygon Here…

Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: 1. In cirde P, if mQR = 110", mRS = 94', and .ZQRT = 27', find each measure. %3D %3D

Q: An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its…

A: We know that in isosceles triangle median through vertex on base is perpendicular to base, and it…

Q: With the circle inscribed in triangle RST, it follows that RM = RP, SP = SN, and TM = TN. True or…

A: According to two tangent theorm The two tangent theorem states that if we draw two lines from the…

Q: In circle P with the measure of arc NQ= 132°, find mZN PQ.

A: Definition used- In a circle, the arc measure equals the corresponding central angle…

Q: 11, An exterior angle of a regular polygon is 45°. How many sides has the poly- gon?

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: In the figure above, a regular nonagon (9-sided) has been divided into 9 congruent isosceles…

A: 1. In a regular polygon, each of its internal angles has a measure of 140. How many sides does it…

Q: It is known that regular pyramid P.QRST with length RS = 8 cm and PR = 12 cm, such as on picture. By…

A: Given regular pyramid PQRST with length RS = 8 cm and PR = 12 cmRS = ST = TQ = QR = 8 cm { Regular…

Q: 2. Are the given triangles congruent by the HL Theorem? Explain.

A: Using hypotenuse leg theorem we have

Q: In circle J with mZHJK = 46°, find the angle measure of minor arc HK . %3D

A: We have to find m Hk

Q: Into a quarter of a circle with a radius 5 cm is an inscribed circle. Compute for the radius of the…

A: This is a problem related to geometry part. Based on the general formula and concept we will solve…

Q: what is the length of the arc made by an angle of 260 degrees on a circle of radius 4 in.

Q: The region within a circle that Is bounded by two radil and an arc is called a ?

A: The region within a circle that is bounded by two radii and an arc is called a _____ .

Q: If MZAOB= 45° in circle 0, what is MZACB?

A: Given m<AOB = 45°

Q: 1. With reference to 1, name each of the sides r, , and y of the triangle in the fiure bele

Q: A 6-sided regular polygon (hexagon) is inscribed in a circle of radius 10 cm, find the length of one…

Q: If Pacman has a radius of 5.4, what is the length of the bold arc below?

A: Given that Pacman has radius of 5.4. To find the length of the bold arc. Solution:

Q: 6. In the accompanying diagram of circle O, diameter AOB is extended through B to external point P,…

Question

do 8 please

8) In a circle whose radius has length 3 in., the length of an arc is x in. What is the
degree measure of that arc?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Suppose that a circle is divided by points A,B,C, and D into four congruent arcs. What is the measure of each arc? If these points are joined in order, what type of quadrilateral results?
A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12 in. Find the length of the radius of the inscribed circle.
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.
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 circle is inscribed in a triangle having sides of lengths 6 in., 8 in., 10 in. If the length of the radius of the inscribed circle is 2 in., find the area of the triangle.
If line segment AB and line segment CD in the accompanying drawing are drawn to scale, what does intuition tell you about the length of these segments?
In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of a circle. If the radius of the sector is 28.5 in. and the arc length of the of the sector is 26.4 in., what are the central angle, , and area of the sector?
Suppose a circle of radius r is inscribed in a rhombus, each of whose sides has length s. Find an expression for the area of the rhombus in terms of r and s.
A triangle with sides of lengths 3 in., 4 in., and 5 in., has an area of 6 in2. What is the length of the radius of the inscribed circle?
If the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
Three pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?