Question

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?

Answer 1

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