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a corner self is 1/4 of a circle and has the radius of 10.5 inches. enter the area of the self in square inches. can you round it to nearest hundredth?

a corner self is 1/4 of a circle and has the radius of 10.5 inches. enter the area-example-1
User Sole Galli
by
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1 Answer

3 votes

Answer:

The area of the shelf is 86.59 square inches

Explanation:

The formula of the area of the circle is A = π r², where

  • r is the radius of the circle

∵ The corner shelf is
(1)/(4) of a circle

→ That means its area is
(1)/(4) the area of the circle

∴ The area of the corner shelf =
(1)/(4) × area of the circle

∵ Area of the circle = π r²

The area of the corner shelf =
(1)/(4) × π r²

∵ The radius of the shelf is 10.5 inches

r = 10.5 inches

→ Substitute the values of r in the formula of the area

∴ The area of the corner shelf =
(1)/(4) × π × (10.5)²

∴ The area of the corner shelf = 86.59014751

→ Round it to the nearest hundredth

∴ The area of the corner shelf = 86.59 square inches

The area of the shelf is 86.59 square inches

User Le Ding
by
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