Question

I only need the answer from these multiple choices of question 14 thank you

Answer 1

d. 67.0cm^2

Explanation:

Given:

radius (r) = 8 cm

angle (α) = 120°

We can calculate the area of sector using the following formula:

`A_(sec)=(\pi\cdot r^2\cdot\alpha)/(360)`

We substitute the values of the radius and angle to determine the area just like this:

`\begin{gathered} A_(sec)=(3.14\cdot8^2\cdot120)/(360) \\ \\ A_(sec)=(24115.2)/(360) \\ \\ A_(sec)=66.98\cong67\text{ cm}^2 \end{gathered}`

The area of the sector is equal to 67 square centimeters, therefore the correct answer is option d. 67.0cm^2