The figure shows a piece of string tied to a circle with a radius of one unit. The string is just long enough to reach the opposite side of the circle. Find the area that is covered when the string is unwound counterclockwise.

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: Look at the cylinder below. 6 cm 12cm Which of the following equations could be used to find the…

A: Lateral surface area of cylinder = 2π×r×h r is radius and h is height of cylinder .

Q: Three circles with radii 3.0, 5.0, and 9.0 cm are externally tangent. What is the area of the…

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Q: For an ellipse which every point represented by i = a cose î + bsin0 ĵ , calculate the area using $r…

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Q: Find the area of the largest rectangle that can be inscribed in a semicircle of radius r = 5 .(See…

A: Let x,25-x2 be the coordinates of corner of the rectangle obtained by placing the circle and…

Q: The heart-shaped figure shown below is made up of one semicircle with radius 9 cm on the bottom and…

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Q: t is the surface

A: The surface area of prism is determined as, S=2B+P·L Finding the base of the triangle using…

Q: A solid sphere has volume 972r cubic feet. Find the radius of the sphere.

A: Volume of a sphere = 43·π· r3 where r is the radius of the sphere.

Q: Example 4: Find the surface area of the square pyramid using Pythagorean Theorem. 12 m 10 m 10 m

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Q: Find the total surface area of the pyramid. (Hint: Find the slant height first.)

A: Given h= 12ft a= side= 10ft This is square pyramid

Q: The area of the sector is 144 T Cm F 36 cm A

A: The area of a sector of a circle with radius r and angle θ is given by A=πr2360θ.

Q: A soup can has a height of 4 cm and a radius of 3 cm.  The amount of soup the can hold is…

A: topic - volume of cylinder

Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: + = 1. 9 36

A: Given ellipse:-             x29+y236=1 =>      x232+y262=1  compare to standard form x2a2+y2b2=1…

Q: 3. In circle O, diameter AB = 3x + 11 and diameter CD 5x - 23. Find the length of a radius.

A: Diameters of the circle O: AB = 3x + 11 CD = 5x - 23    radius = ?

Q: (a) Find the surface area as shown in the Figure 1 below: A = /3 Figure 1

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Q: An area of a circular sector is 50m2 with a radius of 10 m. Find the length of the same sector.

A: An area of a circular sector is 50m2 with a radius of 10 m. Find the length of the same sector.

Q: Find the surface area of a sphere if the radius has the length 7 in. Use T = 22 7

A: Given: Radius of sphere=7 in.

Q: (b) Find the surface area of a hemisphere of radius a.

A: Remark: We know that the surface area of a sphere with radius 'a' unit is = 4πa2 square unit. Also,…

Q: Find the surface area of the figure. a= 3 ft

A: Given: A cube with side a = 3ft

Q: The figure represents the top of a building, where AB AD. Find the area of ABCD in cm. * 11 14 A 7

A: Sol

Q: What is the area of a sector ACB? Leave your answer in terms of r. 120 2 cm

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Q: h= 5 R. %3D

A: Given that Height of spherical segment=5cmand volume of sphere=90cm3we know thatvolume of…

Q: A frame is made using a 9 inch by 12-inch piece of wood. An 8 inch by 11-inch section is cut from…

A:

Q: An underground storage tank for gasoline is in the shape of a right circular cylinder with…

A: Definition used -                        The volume of the cylinder -…

Q: STACC ships pack the garbage into compact cubical structures as shown in the image below. Calculate…

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Q: Find the area of the Earth's surface which lies further north than the 45°N latitude. Assume the…

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Q: 3) Each of two walls (with rectangular windows) of an A-frame house has the shape of a trapezoid, as…

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Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: figure. 6. A piece of candy corn is in the shape of a cone. The height of the candy corn is 2…

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Q: Find the total length of the cardiod r=15(1+cose).

A: SOLUTION-

Q: Considering the area of a circular ring as an increment of area of a circle, find approximately the…

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Q: The diagram below shows the radius of the circular opening of a drinking cup. 4 cm Which of the…

A: We have to find out

Q: A cylindrical glass 8 inches in altitude and 5 inches in diameter is filled with ice tea. It is then…

A: Volume of the cylinder is V=πr2h where, r is the radius and h is the height of the cylinder.

Q: By integrating surface element of a sphere, find area of a strip on the surface of a sphere from 8=…

A: To Find: Area of a strip on the surface of a sphere from θ=45° to θ=135°, where Radius of the sphere…

Q: In the figure above, the larger square has sides of length a and the smaller square has sides of…

A: The area of the square is defined as side×side.

Q: Figure out which of the following is larger. The area of a square with side length 1.7 cm or of a…

A: The side length of the square=1.7 cm

Q: The surface area of a closed hemisphere with a diameter of 10 is T units3

A: We are given a closed hemisphere with diameter 10 units.  We are required to find the surface area…

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

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Q: The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose…

A: Given that the circle with radius 7.2 m surrounded by four equilateral triangles whose sides equal…

Q: Use trigonometric substitution to find the area enclosed by the ellipse x y a?'b? =1.

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Q: Find the length of the entire perimeter of the region inside r=14 sin 0 but outside r 2. %3D Answer:

A: Given inside r=14sinθ outside r=2

Q: The radius of a circle is 3 in. Find its area in terms of T.

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Q: 1. The area of a sector is Agector = RE0 TT. What does the variable n represent? 九. %3D 360

A: Area of the sector =θ360°(πr2) ; where , r is the radius  of the sector of the circle and…

Q: 2,5in. 2 in.

A: Please see the answer in Step 2 .

Q: A student is making a model of a pyramid. The pyramid must be 24 centimeters tall and have a volume…

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Q: A circle with radius of 1cm sits inside a 3cmx3cm rectangle. What is the area of the shaded region?

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Q: Find the surface area of the pyramid below

A: Surface area of pyramid = Sum of areas of all five faces,  SA=lb+lx+by where SA is the surface area…

Q: A circular fountain has a diameter of 7 meters. The statue in the middle has a diameter of 2 metem…

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Q: The surface area of a cone is 550 square units. The radius of the base is 5 units. What is the slant…

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Q: 4 Sh

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