Question

Find the shaded area of the circle. 114 8 cm 7.

Answer 1

`\text{Area}=63.66in^2`

Step-by-step explanation

the area of a circle is given by:

`\begin{gathered} \text{Area}=\pi\cdot radius^2 \\ so,\text{ the area of a circular sector} \\ \text{Area}=(r^2\cdot\emptyset)/(2)(\emptyset\text{ in radians)} \end{gathered}`

Step 1

convert the angle from degrees into radias

remember

`2\text{ }\pi\text{ rad}\rightarrow360\text{ degr}ees`

so

`114\text{ degr}es(\frac{2\text{ }\pi}{360\text{ deg}})=1.98\text{ radians}`

Step 2

Replace,

`\begin{gathered} \text{Area}=(r^2\cdot\emptyset)/(2)(\emptyset\text{ in radians)} \\ \text{Area}=(8^2\cdot(1.98))/(2) \\ \text{Area}=63.66in^2 \end{gathered}`

I hope this helps you