Please help me.
What is the radius of a circle whose area is equal to sum of the ares of the circles with radii which are 14cm and 18cm?
r^2 = 14^2 + 18^2
To find the radius of the circle, we need to first determine its area. We can find the area of a circle using the formula A = π * r^2, where A is the area and r is the radius.
Let's calculate the areas of the circles with radii of 14 cm and 18 cm:
Area of the first circle (r = 14 cm):
A1 = π * (14 cm)^2
Area of the second circle (r = 18 cm):
A2 = π * (18 cm)^2
Now, to find the total area of the two circles combined, we can simply add these two areas together:
Total area = A1 + A2
Once we have the total area, we can find the radius of the circle using the formula for the area of a circle:
Total area = π * r^2
Now, we can rearrange the equation to solve for the radius (r):
r = √(Total area / π)
By plugging in the value for the total area, we can calculate the radius of the circle.