All categories

2 years ago

Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.

Mathematics

1 answer:

inessss [21]2 years ago

3 0

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

<h3>Area of a sector</h3>

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

r = radius
∅ = central angle

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

learn more on area here: brainly.com/question/12655272

You might be interested in

What is the slope of the line?

Leya [2.2K]

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m= $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-3-3}{0-(-2)}$ ==> $\frac{-3-3}{0+2}$ ==> $\frac{-6}{2}$ = $-3$

Our final answer is -3.

Hope that helps!

5 0

2 years ago

Which value of x makes the equation 2/3x-3=11 true?

harkovskaia [24]

Answer:

x = 21

Step-by-step explanation:

To see for what value of x is the equation true, we have to solve x.

$\displaystyle \frac{2}{3} x - 3 = 11\\\\Adding \ 3 \ to \ both \ sides\\\\\frac{2x}{3} = 11 + 3\\\\\frac{2x}{3} = 14\\\\Multiply \ 3 \ to \ both \ sides\\\\2x = 14 \times 3\\\\2x = 42 \\\\Divide\ both\ sides\ by\ 2\\\\x = 42/2\\\\x = 21\\\\For \ x = 21\ the \ given \ equation \ is \ true.\\\\\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>

7 0

2 years ago

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.

ivolga24 [154]

Answer:

50%

Step-by-step explanation:

If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be $\frac{2}{4}$ , which is simplified to $\frac{1}{2}$ . And because $\frac{1}{2}$ could also turn into $\frac{50}{100}$ , the percentage is 50%.