Question

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radii 2 and 3.

Answer 1

Answer:

the answer is 6.5

Step-by-step explanation:

Answer 2

$A_O=\pi r^2\\\\r_1=2\to A_{O1}=\pi\cdot2^2=4\pi\\\\r_2=3\to A_{O2}=\pi\cdot3^2=9\pi\\\\A=\dfrac{1}{2}(A_{O1}+A_{O2})\\\\A=\dfrac{1}{2}(4\pi+9\pi)=\dfrac{1}{2}\cdot13\pi=\boxed{\frac{13\pi}{2}=6.5\pi}$