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solmaris [256]
2 years ago
10

Calculate the shaded region

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
7 0

。☆✼★ ━━━━━━━━━━━━━━  ☾  

First find the area of the sector.

For that, use this equation:

area = \frac{x }{360} * \pi r^{2}

where 'x' is the angle and 'r' is the radius

Sub the values in

area = \frac{56}{360} * \pi15^2

Solve:

area = 35\pi

It is easier to keep it in terms of pi until the end

Now, calculate the area of the triangle within the sector

area = 1/2 ab x sinC

where 'a' and 'b' are the radius (side lengths) and C is the angle

thus,

area = 1/2(15 x 15) x sin(56)

area = 93.27 (to 2 d.p)

Now subtract the area of the triangle from the area of the sector

35\pi - 93.27 = 16.6857

This would give you a final answer of 16.69 units^2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

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