Question

the measure of a central angle of a circle is 150 degree and radius of acircle is 21cm find the area of the sector​

Answer 1

AnswEr:-

Area of Sector is 557.5cm²

Step by Step Explanation:-

Given :-

Measure of the central Angle = 150°

Radius of the circle = 21 cm

$\rule{150}2$

To Find :-

Area of Sector

Finding:-

We know that,

Area of Sector = $\sf\large\dfrac{\;\theta}{360}\times\;2\pi\;r$

$\rule{150}2$

Now, putting Values:-

Area of Sector =

$:\implies \sf\dfrac{150}{360}\times\dfrac{22}{7}\times21\;\times21$

$:\implies\sf\; 557.5cm^2$

So, The area of Sector is 557.5 cm².

$\rule{150}2$

Answer 2

$\underline{ \fcolorbox{red}{pink}{ \huge{Solution :)}}}$

Given ,

• The central angle of a circle = 150°
• Radius of circle = 21 cm

We know that , the area of sector is given by

$\large \sf \fbox{AREA \: OF \: SECTOR = \frac{\pi {(r)}^{2} }{360}}$

Substitute the known values , we get

$\sf \mapsto Area = \frac{22 \times {(21)}^{2} }{7} \times \frac{150}{360} \\ \\ \sf \mapsto Area = \frac{22 \times 21 \times 150}{360} \\ \\ \sf \mapsto Area = \frac{69300}{360} \\ \\ \sf \mapsto Area = 192.3 \: \: {cm}^{2}$

Hence , the area of sector is 19.2 cm²

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