This exercise involves the formula for the area of a circular sector.

Question

This exercise involves the formula for the area of a circular sector.

The area of a circle is 700 m². Find the area of a sector of this circle that subtends a central angle of 2 rad. (Round your answer to one decimal place.)

 m²

Answer 1

sector's area = about 222.8 m^2

Area of a sector = .5Tr^2 = half of radius squared times angle measured in radians

if area of the circle =700 then pir^2 = 700 and r^2= 700/pi, and r = 10(sqr7)/pi

= 1/2 radius^2 x radians

= 1/2 x 700/pi x 2

= 700/pi

=about 222.8 m^2

if circle area = 700

and angle = 2 radians

Answer 2

No need for formula for area of sector

A = (2 / 2π)(700)