r 19 inches theta 90 A a28339 in2 b2983 in2 c1492 in2 d56677

r= 19 inches, theta= 90, A=?

a)283.39 in²

b)29.83 in²

c)14.92 in²

d)566.77 in²

Solution

Area of sector,A=(n/360)*pi*r²

n is the central angle which is 90 here and r is the radius which is 19 here

so we get A=(90/360)*3.14*19²=283.89 in²

Correct option is a