The radius of the larger circle is 9cm. The diameter of the smaller circle is 11cm. Find the area of the shaded region
The shaded area is between the larger circle and smaller circle . It is concentric
The area of the larger circle is 81Ï€.
The smaller circle has area 121Ï€/4 = 30.25Ï€
How do I get the area in between now?
Shaded area=larger-smaller
To find the area of the shaded region between the larger and smaller circles, you need to subtract the area of the smaller circle from the area of the larger circle.
1. Start by finding the area of the larger circle using the formula: A = πr^2
- The radius of the larger circle is given as 9cm, so the area of the larger circle is A = π(9^2) = 81π
2. Next, find the area of the smaller circle using the same formula. However, we are given the diameter of the smaller circle, so first, find the radius by dividing the diameter by 2.
- The diameter of the smaller circle is given as 11cm, so the radius is 11/2 = 5.5cm.
- Now calculate the area of the smaller circle: A = π(5.5^2) = 30.25π
3. Finally, subtract the area of the smaller circle from the area of the larger circle to find the shaded region's area.
- Subtracting 30.25π from 81π gives: 81π - 30.25π = 50.75π
Therefore, the area of the shaded region between the larger and smaller circles is approximately 50.75π square units.