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Area = 17.45cm?

Find the size of the angle in the sector below.
Give your answer to 1 decimal place. IM
e
5cm
Enter your maths answer​

Area = 17.45cm? Find the size of the angle in the sector below. Give your answer to-example-1
User Sandes
by
7.0k points

1 Answer

7 votes

Answer:


\theta=79.98^(\circ)

Explanation:

Given that,

The area of sector, A = 17.45 cm²

Radius, r = 5 cm

We need to find the angle in the given sector. The area of a sector is given by :


A=(\theta)/(360)* \pi r^2

Where


\theta is the angle of sector


\theta=(360* A)/(\pi r^2)\\\\\theta=(360* 17.45)/(\pi * (5)^2)\\\\\theta=79.98^(\circ)

So, the angle of sector is
79.98^(\circ).

User Maurice Raguse
by
6.6k points