Question

What is the right answer to this? I calulated and it said the first option was wrong. Find the area of the sector use 3.14 for pi

Answer 1

Answer:

84.8

Step-by-step explanation:

$\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$

$\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}$

Given:

• $\theta$ = 120°
• $\pi$ = 3.14
• r = 9

Substitute the given values into the formula:

$\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}$

Answer 2

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{120}{360}$

   = π × 9² × $\frac{1}{3}$

  = 81π × $\frac{1}{3}$

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )