Math, asked by Hrishabh6415, 11 months ago

A sector of 120', cut out from a circle, has an area of (66/7) sq. Cm. Find the radius of the circle.

Answers

Answered by rishu6845
1

Answer:

3 cm

Step-by-step explanation:

Given---->

---------

Angle of sector =120°

Area of sector =( 66/7) sq cm

To find---> Radius of circle

-----------

Solution--->

-------------

Area of sector = π r² θ / 360

66/7 = π r² ×120/ 360

=> (66/7) × 1/π= r² × 1/3

=> 3 × (66/7)×(7/22) = r²

=> r² = 3 × 3

Taking square root of both sides

=> √r² =√(3×3)

=> r = 3 cm

Additional information--->

-----------------------------------

1) Area of circle = πr²

2)Circumference of circle= 2πr

3)Length of arc=(θ/360) 2πr

Answered by Aɾꜱɦ
22

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3cm

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