OAB is a sector of a circle of radius 8cm and centre O. The length of the arc AB Is 8cm. Find the area of the sector

Answer 1

The circumference of the circle is 2*pi*r, where r=8cm and pi = 3.14159...

C = 50.26548... cm

The area A of the circle is pi*r² = 3.14158*8*8 = 201.10619... cm²

The length of the arc = 8cm. C/8 = 6.283185 which is the fraction of the circumference.

The area of the slice with radius r and arc length 8 = A/6.283185 = 32.00704... cm²