Question

Can you please help me out with a question

Answer 1

The formula for the area of a sector of a circle is:

`A=(\theta)/(360)\cdot\pi r^2`

Where

θ is the angle

r is the radius

Given,

θ = 100

r = 7

We substitute into the formula and figure the answer out [remembering to use 3.14159 as π]:

`\begin{gathered} A=(\theta)/(360)\cdot\pi r^2 \\ A=(100)/(360)\cdot(3.14159)(7)^2 \\ A=(5)/(18)\cdot(3.14159)(49) \\ A\approx42.76053 \end{gathered}`

Rounding to the nearest thousandth [3 decimal places], we have:

Area = 42.761 square centimeters