The area of a 60º sector of a circle is 10π m2. Determine the radius of the circle. Write your answer in exact form.

Answer: The radius of the circle is 7.75 m (approximately)

Step-by-step explanation: The area of a sector is determined as follows;

Area of sector = (∅/360) x πr²

The area has been given as 10π, and the angle subtended by the sector has been given as 60. Substituting for known values we now have;

10π = (60/360) x πr²

10π = (1/6) x πr²

By cross multiplication we now have;

(10π/π) x 6 = r²

10 x 6 = r²

60 = r²

Add the square root sign to both sides of the equation

√60 = √r²

7.7459 = r

The radius of the circle is approximately 7.75 meters