A circle with a radius of 3cm sits inside a circle with radius of 11cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
area of smaller circle = 22/7*3*3
= 198/7
=28.29(approx) (cm)square
area of bigger circle = 22/7*11*11
=2662/7
=380.29(approx) (cm)square
area of shaded region= 380.29-28.29 (cm)square
=352 (cm)square
Answer:
Area of shaded portion = 351.68 cm²
Step-by-step explanation:
The radius of the smaller circle is given to be = 3 cm
Area of the circle is given by : Area = π·radius²
⇒ Area of the smaller circle = π × 3²
= 3.14 × 9
= 28.26 cm²
The radius of the bigger circle is given to be = 11 cm
⇒ Area of the bigger circle = π × 11²
= 3.14 × 121
= 379.94 cm²
Now, Area of the shaded portion = Area of bigger circle - Area of smaller circle
⇒ Area of shaded portion = 379.94 - 28.26
= 351.68 cm²