Question

Find the measure of AC, given that the shaded region has an area of 45.55 square centimeters. Use your calculator and round your final answer to two decimal places.

Answer 1

To find the measure of an Arc. we use the formula \[\large A= \frac{x}{360} \pi r^2\] In our case, the measurement of the shaded region is 45.55 cm^2, and our radius is 6 cm Plugging this into our formula, we have \[\large A= \frac{45.55}{360}\cdot \pi \cdot (6)^2\]\[\large A= \frac{45.55}{360} \cdot \pi \cdot 36\]

I'll leave the rest up to you :)

Answer 2

thanks!(: