Question

Find the area of the segment of circle c shown above.

A. Asegment= 353.66

B. Asegment= 434.88

C. Asegment= 458.88

D. Asegment= 707.32

Answer 1

i had this problem and i choose B which turn out to be incorrect. NOT B 

Answer 2

The area of the segment of circle 'C' is 353.66 sq. units.

Therefore, option (A) is the correct answer.

What is a segment of a circle?

"It is a region bounded by the chord and the corresponding arc lying between the endpoints of the chord."

Formula to calculate the area of the segment of circle:

$A = (\frac{1}{2} ) \times r^2\times [(\frac{\pi}{180}) \theta - sin \theta]$

where, angle is measured in degree

For given example,

radius r = 24,

angle $\theta$ = 120°

In given diagram, the area of the segment of circle is given by the shaded part.

Using the formula of the area of the segment of the circle,

⇒ $A = (\frac{1}{2} ) \times r^2\times [(\frac{\pi}{180}) \theta - sin \theta]$

⇒ $A = (\frac{1}{2} ) \times (24)^2\times [(\frac{\pi}{180} \times 120) - sin(120)]$

⇒ $A = 288\times [\frac{2\pi}{3} - 0.87]$

⇒ $A=353.66$ sq. units.

Therefore, the area of the segment of circle 'C' is 353.66 sq. units.

Therefore, option (A) is the correct answer.

Learn more about the segment of a circle here:

https://brainly.com/question/1372572

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