The sector of a circle has a central angle of 144º and an area of 70.7 square meters. Find the
radius of the circle.

HELP PLEASE!

the radius of the circle is 7.5 meters

Step-by-step explanation:

The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

70.7 square meters

θ = 144 degrees

Therefore,

70.7 = 144/360 × 3.14 × r²

70.7 = 1.256r²

r² = 70.7/1.256

r² = 56.29

Taking square root of both sides of the equation, it becomes

r = √56.29

r = 7.5 meters