Question

Find the arc length along a circle of radius 10 subtended by an angle of 215 degrees

Answer 1

To find the arc length of a circle with a radius of 10 and an angle of 215 degrees, convert the angle to radians and then multiply by the radius to obtain the arc length.

Step-by-step explanation:

To find the arc length along a circle of radius 10 subtended by an angle of 215 degrees, we use the formula for arc length ℓ, which is given by the relationship ℓ = θ × r, where θ is the angle in radians and r is the radius.

First, we need to convert the given angle from degrees to radians. We know that 180 degrees is equal to π radians. So, the angle in radians is given by: θ (in radians) = (215° / 180°) × π.

Now we calculate the arc length: ℓ = θ (in radians) × r = ((215° / 180°) × π) × 10. After performing the calculation, we find the arc length for the given circle and angle.

Answer 2

arc = 25.29

Step-by-step explanation:

first find the circumference:

C = 2r(Pi) = 2(10)(3.14) = 62.8

since subtended, then we're looking for these opposite angle of 215 degrees:

360 - 215 = 145 degrees

62.8/360 = 0.1744 per degree

0.1744 x 145 = 25.29