Answer:
100π = Area of the circle
Explanation:
Let the unknown area of the circle be A = πr². To find A, we have to find the circle radius r first.
The known sector area (A = 20π) is a fraction of the total circle area:
(2/5)π
------------ A = 20π or (after reducing the fraction) A/5 = 20π
2π
Multiplying both sides by 5 yields A = 100π = Area of the circle