Question

the radius of a circle is 28cm and the area of the sector is filled with rain water is 205.4cm find the central angle

Answer 1

given:
radius=28cm
area of the sector = 205.4 cm
To find:
theta or cetre angle
solution:
area of sector :
$theta \div 360 \times \pi \: r ^{2}$
205.4= theta/360×22/7×28×28
205.4= theta/ 360×22×4×28
theta=(205.4×360)/22×4×28= 30( approx)
therefor ,theta =30 degree

Answer 2

The central angle  is 30.009°

Step-by-step explanation:

Radius of circle = 28 cm

Area of sector = $\pi r^2 \times \frac{\theta}{360}$

We are given that the area of the sector is filled with rain water is 205.4 sq.cm.

So, $\pi r^2 \times \frac{\theta}{360} = 205.4\\\frac{22}{7} (28)^2 \times \frac{\theta}{360}=205.4\\\theta = \frac{205.4 \times 7 \times 360}{22 \times 28^2}\\\theta = 30.009$

Hence the central angle  is 30.009°

#Learn more:

Find the area of the sector of a circle of radius 28cms and central angle 45 is

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