SOLUTION: on a circle of radius 6 ft what angle in degrees would subtend an arc of length 3 ft

Question 711294: on a circle of radius 6 ft what angle in degrees would subtend an arc of length 3 ft
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Arc Length = (angle/360)*(Circumference)

Arc Length = (angle/360)*(2*pi*r)

3 = (angle/360)*(2*pi*6)

3 = (angle/360)*(12pi)

3/(12pi) = angle/360

(3/(12pi))*360 = angle

90/pi = angle

Angle = 90/pi ... exact angle (in degrees)

Angle = 28.6478897565411 ... approximate angle (in degrees)

RELATED QUESTIONS
On a circle of radius 9 feet, what angle would subtend an arc of length 2 feet? ?... (answered by ikleyn)

1. A circle has radius 7cm. An arc of the circle has length 10cm. What angle, in degrees... (answered by richwmiller)

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π2... (answered by Alan3354)

What is the size, in degrees, of the angle subtended by an arc of 1 2/3 ft in a circle... (answered by josmiceli)

what is the size, in degrees, of the angle subtended by an arc of 1 2/3 ft in a circle... (answered by drk)

an arc of a circle of radius 7cm subtend on angle of 120 degree at the centre, find its... (answered by Seutip)

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the centre (answered by Alan3354)

Find the radius of a circle on which a central angle of radians subtends an arc of 60... (answered by ikleyn)

A crossection of a tunnel is in the shape of a major segment of a circle of radius 1m on... (answered by ankor@dixie-net.com)