Question

A circle has an area of 1.3 mi2. If a sector of the circle has an area of 0.7 mi2, what is the measure of the central angle in radians?

1.9 radians

0.5 radians

3.4 radians

0.1 radians

Answer 1

Answer: 3.4 radians

i just took the quick check

Answer 2

area of circle=πr²=1.3mi²

we have

area of sector=∅/360×πr²

0.7mi²×360=∅1.3

∅=0.7×360/1.3=193.846°×π/180=387.7 radian