Circle C1 has a radius R and area A. Circle C2 has a radius 5R. What is the area of circle C2
A = pi*r^2
A = 3.14 * (5r)^2 = 3.14 * 25r^2 = 78.5r^2.
To find the area of circle C2, we need to use the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius.
Given that circle C1 has a radius R and area A, we can use these values to find the area of circle C2.
The radius of circle C2 is given as 5R.
So, the area of circle C2 can be calculated as follows:
A2 = π(5R)^2
Simplifying this equation, we get:
A2 = π(25R^2)
Therefore, the area of circle C2 is 25 times the area of circle C1.
To find the area of circle C2, we need to follow these steps:
Step 1: Find the area of circle C1
The formula to find the area of a circle is A = πr^2, where A represents the area and r represents the radius. In this case, we are given that C1 has a radius R, so the area of C1 is A1 = πR^2.
Step 2: Calculate the area of circle C2
We are told that C2 has a radius 5R. Using the same formula as before, the area of C2 is given by A2 = π(5R)^2.
Step 3: Simplify the equation
Expanding the expression inside the parentheses, we have A2 = π(25R^2). Multiplying π by 25R^2 gives A2 = 25πR^2.
Therefore, the area of circle C2 is 25πR^2.