Find the radius of a circle in which a central angle of 45° intercep

1.	Find the radius of a circle in which a central angle of 45° intercepts an arc of length 33 cm. (Take π = 22/7)
Answer» 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.

Find the radius of a circle in which a central angle of 45° intercepts an arc of length 33 cm. (Take π = 22/7)

Answer»

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.