Question

find the radius of the circle in which a central angle of 45° intercepts an are 132 cm. (π = 22/7)​

Answer 1

Step-by-step explanation:

We know, Central angle (θ) = (length arc)/radius ….(1) Convert angle in radian: Angle in radians = Angle in degrees x π/180° = 45° x π/180° = π/4 From (1), Radius = (length arc)/Central angle = 33/(π/4) = 132 x 7/22 = 42 Therefore radius is 42 cm.Read more on Sarthaks.com - https://www.sarthaks.com/810891/find-the-radius-of-circle-in-which-central-angle-of-45-intercepts-an-arc-of-length-33-cm-take

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Answer 2

We know,

Central angle (θ) = (length arc)/radius...(1)

Convert angle in radian:

Angle in radians = Angle in degrees x π/180° = 45° x π/180° = π/4

From (1),

Radius = (length arc)/Central angle

= 132/(π/4)

= 132 x 7/22

= 42

Therefore radius is 42 cm.