Question

Can someone check this please..
The area of a circle is 540 inches squared, what is the area of the sector if its central angle measures 50 degrees.
A = 13, 500 inches squared ???

Answer 1

Area of a sector is proportional to the central angle so, the fraction of the area equals the fraction of the central angles in the same order.
\[A/540=50/360\]
\[A=540\times50/360\]
\[=75\]
75 square inches

Answer 2

Thank you!!