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An arc of a circle radius 13cm substends to an angle 105° at the center. Calculate

The length of arc
The perimeter
Area of sector

we have θ = 105/360 * 2π

s = rθ
p = s + 2r
a = 1/2 r^2 θ

so plug and chug

Did you know?

Did you know that the length of an arc can be calculated using the formula L = (θ/360) × 2πr, where L represents the length of the arc, θ is the angle subtended by the arc at the center, and r is the radius of the circle? In this case, with a radius of 13cm and an angle of 105°, we can find the length of the arc by plugging in these values into the formula. Furthermore, did you know that the perimeter of a sector can be calculated by summing the length of the arc and twice the radius? In this case, with the same information, we can calculate the perimeter of the sector. Lastly, the area of a sector can be found using the formula A = (θ/360) × πr^2. So, with the radius of 13cm and the angle of 105°, we can calculate the area of the sector. Mathematics provides us with fascinating formulas to determine the length of an arc, the perimeter of a sector, and the area of a sector, allowing us to accurately measure parts of circles and sectors.