Question

Find the area of the shape.

Either enter an exact answer in terms of
or use 3.14 for
and enter your answer as a decimal.
units?

Answer 1

Hope this helps with the answer to your question ;)

Answer 2

9.42 square units

Explanation:

`central \: \angle \: ( \theta) = 90 \degree \\ radius \: (r) = 2 \: units \\ Area \: of \: sector = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ = ( 90 \degree)/(360 \degree) * \pi * {2}^(2) \\ \\ = ( 1)/(4) * \pi* 4 \\ \\ =\pi \: {units}^(2)`

Area of shape = Area of circle - Area of sector

`= \pi r^2 - \pi\\</p><p>=\pi(r^2 -1)\\</p><p>=3.14(2^2 -1)\\</p><p>=3.14(4 -1)\\</p><p>=3.14* 3\\</p><p>= 9.42\: units^2 \\`