Answer:
A = 49pi/6
~= 25.656
Explanation:
The area of the whole circle can be found by A = pi•r^2
This is 49pi.
The central angle is 60° (Angle O in the image) This shows that the shaded region is 60°/360° or 1/6 of the circle.
Multiply 1/6 times the area of the whole circle to find the area of the shaded region.
A_sector
= 1/6•pi•r^2
= 1/6•pi•7^2
= 1/6•pi•49
= 49pi/6 Exact Answer
~= 25.656 Rounded to the nearest thousandth