Given a circle with a radius of 6, what is the length of an arc measuring 60°? a. 1 2 p b. 2p c. 3 2 p d. 3p

Option B

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

substitute

step 2

Find the length of an arc measuring 60°

we know that

The circumference of the circle subtends a central angle of 360 degrees

so

using proportion

find the length of an arc measuring 60°

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )