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