1. Shaded area is 14 cm. Find r to the nearest 0.01 cm.

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

the second option

step-by-step explanation:

this is a good question! i'll do some research and come back when i have the answer!