The cresent-shaped region bounded by two circles forms a lune (see figure). Find the area of the lune given that the radius of the smaller circle is 3 and the radius of the larger circle is 5.

Q: Two spheres have radii a and b. Prove that the ratio of the areas is a 2  : b 2

A: We know that area of a sphere A=4πr2 Where r is the radius of a sphere.

Q: A 30° C 400 B a 30 cm

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Q: Find the area of the sector formed by central angle 0 = 2.4 in a circle of radius 3 centimeters. cm2

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Q: From a circular sheet of radius 4 cm a circle of radius 3 cm is cut out . Calculate the areas of the…

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Q: A machinist is required to manufacture a circular metaldisk with area 100 cm2 .(a) What radius…

A: Let the radius = r cm  So the area is =πr2 cm2 .

Q: Under what conditions does the net area of a region equal the areaof a region? When does the net…

A: When we calculate net area, the area below the x axis is taken as negative and area above the x axis…

Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of…

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the…

Q: Calculate SA/V ratio for a sphere with a radius of 4.

A: The required ratio to be calculated is the ratio of surface area of the sphere to the volume of the…

Q: What is the area of the shaded region? В De 11 in C. A,

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Q: Find the area of a circular segment bounded by chord AB and minor arc ACB whose radius is 6 cm and…

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Q: A sphere has a volume of V = 324 in. Find its surface area. The surface area is in. (Round to the…

A: Given that  Volume of a sphere is V=324 in^3 To find Surface area of a sphere

Q: Find the surface area of a cylinder with a height of 6 in and a base radius of 2 in.

A: surface area of the cylinder = 2 pai r h

Q: _7ft 6 ftr

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Q: Find the area and volume of a lune whose angle is 45 degrees drawn on a sphere whose diameter is 10…

A: Here I am attaching image so that you understand each and every step.

Q: The cresent-shap ed region bounded by two circles forms a lune (see figure). Find the area of the…

A: Given that:

Q: Which is a possible cross section of a cylinder?

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Q: dydx, where D is the circular region inside the unit circle

A: We are given the integral,                     . Let us convert the above integral into the polar…

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

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Q: Find the area of a sector of a circle having radius r and central angle 0. r= 11.4 cm, 0=70° The…

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Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

Q: Say the silo has radius r. Carefully draw the region that Clara can graze.

A: Let r be the radius of silo. Rope is long enough to reach the point diametrically opposed to the…

Q: The distance between any two centers of the three coplanar circles that are externally tangent to…

A:

Q: Consider the trapezoid shown in the figure. 2 3 y (m) 11 10 9 8 7 6 5 4 3 2 1 7 89 10 11 01 2 3 4 5…

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Q: Find the surface area of the given prism

A: Find the surface area

Q: Calculate the sector area of the unshaded region. [39] D 150° A 4 cm C

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Q: Find the area of all of the pink sectors of the circle if the diameter is 24 units. Round your…

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Q: Find the area of all of the pink sectors of the circle if the diameter is 20 units. Round your…

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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: Consider the three identical circles of radius R in the figure below. Which of the following is tho…

A: Let's find.

Q: What is the area of the sector with the radius of 8? 60° 8 20x 3 O 3T 32x 3. 160

A: We will use the formula for finding the area of a sector of a circle.

Q: Evaluate O y°dx – x°dy, where C is the boundary of the region between the circles a? + y? = 9 and x?…

A: To evaluate the integral.

Q: Find the volume of liquid needed to filla sphere of radius R to height . R

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Q: . Find the lateral area of the following cylinder. 8 3.

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Q: Given a right circular cone of radius 3 cm and height 5 cm, find the following: Lateral area Total…

A: given: A right circular cone of radius 3 cm and height 5 cm. we have to find: 1) lateral area. 2)…

Q: find the area of the circle r=a by integartion

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Q: Calculate the SA/V ratio for a sphere with a radius of 2.

A: Consider the given radius of the sphere:

Q: A rectangular region is removed from another rectangular region te 3 yd 8 yd 5 yd 13 yd 5,

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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: Find the surface area of the following figure, then select the correct answer on the next question.

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Q: I. Find the area of whaded region in terms of TT. 100 1. 2. acm 6 cm 08,

A: Answer 1:  given radius= 9cm and θ=800 area of sector = π180θ 2r2                        =π180 802X…

Q: Draw a circle of radius 3.4cm. Draw one diameter of the circle. Shade one of the two semi- circular…

A: Given, We have to draw a circle of radius 3.4 cm. its one diameter and shade one of the two semi…

Q: The net of a rectangular prism is shown below. The surface area of ea labeled.

A: The surface are of three side of box is as below : 20 cm240 cm28 cm2

Q: Find the surface area of the rectangu prism.

A: We are asked to find the surface area of the rectangle prism.

Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

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Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: If the area inside both the cardioid r =4+4sin 0 and the circler = 4 is A B=, then what is A + B? 4…

A: The area inside the cardioid and the circle  are obtained as

Q: A section of a sphere is described by 0 < R <1, 0 <0 <67°, and 14°< ¢ <84°. Find the enclosed…

A: Given: A section of a sphere is described by 0≤R≤1, 0≤θ≤67°, 14°≤ϕ≤84° To find the enclosed volume.

Q: Consider a Möbius strip cut along the dashed blue lines as shown below. What is the resulting…

A: When a mobius strip cut along these lines we get ,

Q: SSJityt 16xy dA. D

A:

Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

A: