Math, asked by prakashdharua1279, 5 months ago

Find area of a sector of circle with radius 7cm and length of the arc corresponding to the sector is 10cm {PLEASE NOTICE LENGTHOF ARC}​

Answers

Answered by hukam0685
1

Step-by-step explanation:

Given:

  • Radius 7cm
  • length of the arc corresponding to the sector is 10cm.

To find:Area of a sector of circle

Solution:

Tip: Find the angle of sector subtended at centre of circle from arc length,then find Area of sector.

Formula to find arc length:

 =  \frac{ \theta}{360}  \times 2\pi \: r \\  \\ 10 = \frac{ \theta}{360}  \times 2\ \times  \frac{22}{7}  \:  \times 7 \\  \\ 10 =  \frac{44 \:  \theta}{360} \\  \\ \theta =  \frac{10 \times 360}{44}  \\  \\ \theta =  \frac{3600}{44}  \\  \\

Find Area of sector:

area \: of \: sector =  \frac{ \theta}{360}  \times \pi \times  {r}^{2}  \\  \\  = \frac{ 3600}{44 \times 360}  \times \ \frac{22}{7} \times  {(7)}^{2} \\  \\  =  \frac{ 5 \: \cancel{10}}{ \cancel2 \: \cancel{44}}  \times  \frac{ \cancel{ 22}}{ \cancel7}  \times 7 \: \cancel{49} \\  \\  = 5 \times 7 \\  \\  = 35 \:  {cm}^{2}  \\  \\

Thus,

Area of sector corresponding to given arc length is 35 sq-cm.

Hope it helps you.

To learn more on Brainly:

1)Find the area of sector of a circle with radius 7 cm if the angle of the sector is 60 degree.

https://brainly.in/question/15142783

Answered by charisma47
0

Answer:

Area of sector corresponding to given arc length is 35 sq-cm.

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