Find the area of a circle given C equals 4RR give your answer in terms of RR
The formula for the circumference of a circle is C = 2πR, where R is the radius of the circle.
Given that C = 4R, we can substitute this into the formula:
4R = 2πR
Dividing both sides by 2π:
2R = R
Therefore, the radius of the circle is equal to R.
The formula for the area of a circle is A = πR^2, where R is the radius of the circle.
Substitute R into the formula:
A = π(R)^2
A = π(2R)^2
A = π(4R^2)
A = 4πR^2
Therefore, the area of the circle in terms of R is 4πR^2.