An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glass.What is the area of the blue glass will be needed to fill each butterfly dot?Give your answer in terms of pi.A=□inches 2
Q. An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glass.What is the area of the blue glass will be needed to fill each butterfly dot?Give your answer in terms of pi.A=□inches 2
Circle Circumference Formula: The circumference C of a circle is given by the formula C=2πr, where r is the radius.We know C=24π inches.So, 24π=2πr.
Calculate Radius: Divide both sides by 2π to solve for r. r=2π24π. r=12 inches.
Circle Area Formula: The area A of a circle is given by the formula A=π⋅r2. Substitute r=12 inches into the formula. A=π⋅(12)2.
Calculate Area: Calculate the area.A=π×144.A=144π inches2.