A ring has an outsdie diameter of 3.85cm and an inside diameter of 2.63cm.Calculate its area?
To calculate the area of a ring, we first need to find the outer and inner radii of the ring. The radius is half the diameter, so we have:
Outer radius = 3.85 cm / 2 = 1.925 cm
Inner radius = 2.63 cm / 2 = 1.315 cm
Now, we can calculate the area of the ring by subtracting the area of the inner circle from the area of the outer circle.
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
Area of the outer circle = π * (1.925 cm)^2
Area of the inner circle = π * (1.315 cm)^2
Subtracting the inner area from the outer area, we get:
Area of the ring = (π * (1.925 cm)^2) - (π * (1.315 cm)^2)
≈ π * (1.925^2 - 1.315^2) cm^2
Calculating the values inside the parentheses:
(1.925^2 - 1.315^2) cm^2 ≈ 2.86 cm^2
So, the approximate area of the ring is 2.86 cm^2.
To calculate the area of a ring, you need to subtract the area of the smaller circle (inside the ring) from the area of the larger circle (outside the ring). Here are the steps to find the area of the ring:
1. Find the radius of the larger circle: Divide the outside diameter by 2.
Radius = Outside Diameter / 2
In this case, the outside diameter is 3.85 cm.
So, the radius of the larger circle = 3.85 cm / 2 = 1.925 cm.
2. Find the area of the larger circle using the formula:
Area = π * Radius^2
In this case, the radius of the larger circle is 1.925 cm.
So, the area of the larger circle = π * (1.925 cm)^2.
3. Find the radius of the smaller circle: Divide the inside diameter by 2.
Radius = Inside Diameter / 2
In this case, the inside diameter is 2.63 cm.
So, the radius of the smaller circle = 2.63 cm / 2 = 1.315 cm.
4. Find the area of the smaller circle using the formula:
Area = π * Radius^2
In this case, the radius of the smaller circle is 1.315 cm.
So, the area of the smaller circle = π * (1.315 cm)^2.
5. Calculate the area of the ring by subtracting the smaller circle's area from the larger circle's area:
Area of Ring = Area of Larger Circle - Area of Smaller Circle
Substitute the values into the formula to find the area of the ring.
Once you have the values for the areas of the larger and smaller circles, subtract the area of the smaller circle from the area of the larger circle to find the area of the ring.
Find the area of each circle.
A = pi * r^2
Then subtract the smaller from the larger area. That will be the area of the ring.