A corner shelf is 1/4 of a circle and has a radius of 10.5 inches. Enter the area of the shelf in square inches. Round your answer to the nearest hundredth. I know the answers are 86.55 - 86.68 but I don't know how it got that answer
The area of a circle is piradius^(2) so 3.1410.5*10.5 =346.185 sq. inches
one fourth of that is 86.55 sq. inches
The area of shelf is:
86.55 square inches.
We are given that the corner shelf is 1/4 of a circle.
Hence, the area of the shelf is also 1/4 times the area of a circle.
We know that the Area of circle with radius ''r'' is given by:
Area=πr²
Radius here is: r=10.5 inches.
Hence, the area of circle= π×(10.5)²
=346.185 square inches.
Hence, area of shelf is: Area of circle/4
= 346.185/4
= 86.54625
Hence, round to the nearest hundredth the area of shelf is:
86.55 square inches.