An arc subtended an angle of 105degree at the centre of the circle of radius 6cm calculate the length of the major arc
(105 / 360) * 2 pi R
since you want the major arc, that would be
(255 / 360) * 2 pi R
Thanks, did not read carefully !
To calculate the length of the major arc, you can use the formula:
Length of arc = (Angle/360) * 2πr
where:
- Angle is the measure of the angle subtended by the arc at the center of the circle.
- π (pi) is a constant approximately equal to 3.14159.
- r is the radius of the circle.
In this case, the angle is 105 degrees and the radius is 6 cm. Plugging these values into the formula, we can calculate the length of the major arc.
Length of arc = (105/360) * 2π(6)
Simplifying the calculation:
Length of arc = (0.2917)*2π(6)
Length of arc = (0.2917)*12π
Length of arc ≈ 3.5π
So, the length of the major arc is approximately 3.5 times the value of π, which is approximately 3.5π units.