Use the given information to find the length of a circular arc. Round to two decimal places. the arc of a circle of radius 11 inches subtended by the central angle of pie/4

Answer is in inches (in)

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 * 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 11 inches

θ = pi/4

2π = 360 degrees

π = 360/2 = 180

Therefore,

θ = 180/4 = 45 degrees

Therefore,

Length of arc = 45/360 * 2 * 3.14 * 11

Length of arc = 8.64 inches rounded up to 2 decimal places

The length of the circular arc is 8.64 inches

Step-by-step explanation:

Length of circular arc (L) = central angle/360° * 2πr

central angle = pie/4 = 45°, r (radius) = 11 inches

L = 45°/360° * 2 * 3.142 * 11 = 8.64 inches (to two decimal places)