find the radius of a circle in which a central angle of 45 degree interception arc of 136 CM
Answers
We know,
Central angle (θ) = (length arc)/radiu.(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 45degree intercepts an arc of length 33cm.(take pie = 22/7)
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Given : a circle in which a central angle of 45 degree intercepts an arc of length 33 cm
To find : radius of a circle
Solution:
Let say radius of circle r cm
Arc length = (arc angle / 360° ) * 2πr
Arc length = 33 cm
π = 22/7
Arc angle = 45°
=> 33 = (45° / 360°) × 2 ( 22/7) r
=> 33 = ( 1/8) * 2 ( 22/7) r
=> 33 = ( 1/4) ( 22/7) r
=> 33 = ( 1/2) (11/7) r
=> 3 = (1/2)(1/7)r
=> r = 42 cm
radius of a circle = 42 cm
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