Find the area of the sector (in km2) of a circle of radius r and central angle 𝜃. (Round your answer to two decimal places.)

Question

Find the area of the sector (in km²) of a circle of radius r and central angle 𝜃. (Round your answer to two decimal places.)

r = 4.5 kilometers,  𝜃 = 135°

_______km^2

Answer 1

A = (1/2)r²θ, where A is the area, r is the radius, and θ is the measure of the central angle in RADIANS.

Answer 2

area = one half radians times radius squared

= .5(4.5)^2(3pi/4)= 20.25(3pi/8) km^2

= about 23.8564 square kilometers

= 23.86 km^2 rounded to nearest 2 decimals