the approximate difference in the area of the two circles shown below. 3.14 for pi.?
If the radii are R and r, with R > r, then the exact difference is
π(R^2 - r^2)
Find the approximate difference in the area of the two circles shown below. Use 3.14 for pi.
To find the approximate difference in the area of the two circles shown below, you need to know the radii of the two circles. Once you have the radii, you can use the formula for the area of a circle, A = πr^2, to calculate the areas of both circles. Then, you can find the difference between the two areas.
Here is the step-by-step process:
1. Identify the radii of the two circles. The radius is the distance from the center of the circle to any point on its circumference.
2. Once you have the radii, substitute them into the area formula, A = πr^2, to calculate the areas of both circles.
3. Multiply each radius by itself (square them), and then multiply the result by π (pi).
4. Calculate the difference between the two areas by subtracting the smaller area from the larger area. The result will be the approximate difference in the areas of the two circles.
Here's an example to illustrate the calculation:
Let's say the first circle has a radius of 5 units and the second circle has a radius of 7 units.
The area of the first circle is A1 = π(5^2) = 25π square units.
The area of the second circle is A2 = π(7^2) = 49π square units.
To find the approximate difference in the areas, subtract the smaller area from the larger area:
Difference in areas = A2 - A1 = 49π - 25π = 24π square units.
Remember to use the value of π as 3.14 for the approximate calculation.
So, the approximate difference in the areas of the two circles is 24π square units.