Question

An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glasses. What is the area of the blue glass will be needed to fill each butterfly dot?

Answer 1

The area of the blue glass will be needed to fill each butterfly dot is 144 square inches.

Explanation:

Distance around each dot is the perimeter of the metal ring.

Permeter of a circle = 2πr

So, 2πr = 24π inches

r = 12 inches

Area of the blue coloured glass = area of the circle

=
`\pi r^(2)`

=
`\pi (12^(2))`

= 144π square inches

Hence, the area of the blue glass will be needed to fill each butterfly dot is 144 square inches.