An arc subtends an angle of 105 at the centre of a circle of radius 6cm.find the length of the arc if π is 3.14

Thanks

(105/360) * 2 pi R

To find the length of an arc, you can use the formula:

Length of Arc = (Angle/360) * 2 * π * Radius

Given:
Angle = 105 degrees
Radius = 6 cm
π = 3.14

First, convert the angle from degrees to radians as follows:
Angle in radians = (Angle in degrees * π) / 180

Angle in radians = (105 * 3.14) / 180
Angle in radians ≈ 1.8326

Now, substitute the values into the formula:

Length of Arc = (1.8326/360) * 2 * 3.14 * 6

Simplify the expression:
Length of Arc ≈ (0.005092 * 2 * 3.14 * 6)

Length of Arc ≈ 0.964 cm

Therefore, the length of the arc is approximately 0.964 cm.