Answer:
Step-by-step explanation:
Area of the quarter circle = 1/4 pi * r^2
Area of the quarter circle = 1/4 * 3.14 * r^2
Area of the triangle = 1/2 r * r = 1/2 r^2
Equation of Solution
1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2 Subtract 1/2 r^2 from both sides
0.785 r^2 - 0.5 r^2 = 14 cm^2 Combine the left
0.285 r^2 = 14. cm^2 Divide by 0.285
r^2 = 14/0.285
r^2 = 49.1228 Take the square root of both sides
sqrt(r^2) = sqrt(49.1228)
r = 7.01
