MATH SOLVE

2 months ago

Q:
# In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.What is the length of the arc?2π ft 3π ft 6π ft 9π ft

Accepted Solution

A:

we know that

the length of a circumference=2*pi*r

for r=8 ft

the length of a circumference=2*pi*8---------> 16π ft

if 2π radians (full circle)-------------------> has a length of 16π ft

3π/4 radians-------------------------------> X

X=3π/4*16π/2π-------------> X=6π ft

the answer is

6π ft

the length of a circumference=2*pi*r

for r=8 ft

the length of a circumference=2*pi*8---------> 16π ft

if 2π radians (full circle)-------------------> has a length of 16π ft

3π/4 radians-------------------------------> X

X=3π/4*16π/2π-------------> X=6π ft

the answer is

6π ft