Question

A circular are of length 22 cm subtends an angle o at the centre of the circle of radius 21 cm. The value of 0 is ​

Answer 1

Answer:

The value of angle o is 1.048 Radians or 60.024°.

Step-by-step explanation:

• The length of an arc is given by:                                                                                    (angle made by the arc at the centre÷2π)×2×π×r if we want 'o' to be in radian.                                                                                                                   If we want 'o' to be in degrees and divide the angle made by the arc at the centre by 360° instead of 2π. Here 'r' is the radius of the circle.
• Let's just put the values in the equation.
• 22 = (o÷2π)×2×π×21                                                                                                which on solving, we get 'o' as 1.04761905 radians which on rounding off up to 3 decimal places we get our answer as 1.048 Radians. multiplying 1.048 with (180÷π) we get our answer in degrees as 60.024°.