Question

the arc corresponding to the central angle of 35 degrees in a circle of radius 10 feet measures __feet. Round your answer to two decimal places.

Answer 1

`\huge\boxed{\sf Arc \ length = 6.11 \ ft.}`

Explanation:

Given data:

Theta = θ = 35°

Radius = r = 10 ft.

Required:

Arc length = ?

Formula:

`\displaystyle Arc \ length = 2 \pi r((\theta)/(360) )`

Solution:

Put the givens in the above formula

`\displaystyle Arc \ length = 2 (3.14)(10)((35)/(360) )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}`