findthe exact area of the region bounded by two concentric circles with a radii of 10 and 6 inches
Area of annulus (area between circles of radii a and b)
= π(a+b)(a-b)
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To find the exact area of the region bounded by two concentric circles with radii of 10 and 6 inches, you need to subtract the area of the smaller circle from the area of the larger circle.
The formula to find the area of a circle is A = π * r^2, where A is the area and r is the radius.
1. Area of the larger circle with a radius of 10 inches:
A1 = π * (10^2) = 100π square inches
2. Area of the smaller circle with a radius of 6 inches:
A2 = π * (6^2) = 36π square inches
3. Subtract the area of the smaller circle from the area of the larger circle to find the area of the region bounded by the two circles:
A_region = A1 - A2
= 100π - 36π
= 64π square inches
Therefore, the exact area of the region bounded by the two concentric circles is 64π square inches.
To find the exact area of the region bounded by two concentric circles, you need to subtract the area of the smaller circle from the area of the larger circle.
The formula to calculate the area of a circle is A = πr^2, where A represents the area and r represents the radius.
For the larger circle with a radius of 10 inches:
A1 = π(10)^2 = 100π square inches
For the smaller circle with a radius of 6 inches:
A2 = π(6)^2 = 36π square inches
Now, to find the area of the region between the two circles, we subtract the area of the smaller circle from the area of the larger circle:
A = A1 - A2 = 100π - 36π = 64π square inches.
Therefore, the exact area of the region bounded by the two concentric circles with radii 10 and 6 inches is 64π square inches.