How to find the area of a circle

Practice Questions

SAT Math › How to find the area of a circle

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A square with a side length of 4 inches is inscribed in a circle, as shown below. What is the area of the unshaded region inside of the circle, in square inches?

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Kate has a ring-shaped lawn which has an inner radius of 10 feet and an outer radius 25 feet. What is the area of her lawn?

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A 6 by 8 rectangle is inscribed in a circle. What is the area of the circle?

5

What is in radians?

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A star is inscribed in a circle with a diameter of 30, given the area of the star is 345, find the area of the shaded region, rounded to one decimal.

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Assume π = 3.14

A man would like to put a circular whirlpool in his backyard. He would like the whirlpool to be six feet wide. His backyard is 8 feet long by 7 feet wide. By state regulation, in order to put a whirlpool in a backyard space, the space must be 1.5 times bigger than the pool. Can the man legally install the whirlpool?

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The area of the square in this figure is . What is the area of the entire figure given that the semi-circle atop the square is exactly half of a full circle.

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A manufacturer makes wooden circles out of square blocks of wood. If the wood costs $0.25 per square inch, what is the minimum waste cost possible for cutting a circle with a radius of 44 in.?

10

If a circle has a circumference of 16π, what would its area be if its radius were halved?

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