Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]
Question 1 Report
Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]
Answer Details
In a circle, there are 360 degrees at the center. If an arc subtends an angle of 200 degrees at the center of the circle, then the length of that arc can be found as follows:
Length of arc = (angle/360) x 2πr
where angle is in degrees, r is the radius of the circle and π = 22/7
Substituting the given values we get:
44 = (200/360) x 2 x (22/7) x r
44 = (5/9) x (44/7) x r
r = (44 x 7 x 9) / (5 x 44)
r = 12.6 cm
Therefore, the radius of the circle is 12.6 cm. Answer is correct.
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