Question

Help please math homework

Answer 1

60.5 m

Explanation:

We can use the arc length formula to calculate the length of highlighted arc. Let the numerical measure of the highlighted arc be known as C, the angle measure be known as
`\theta`, and r as the radius of the circle.

Given variables:

• C = Measure of the highlighted arc
• r = radius of the circle
• 
  `\theta` = angle length of the highlighted arc

Plug in all the variables into the formula and solve for the letter C.

`\boxed{\text{Formula: C = }{2\pi r\huge{\text(}(\theta)/(360)\huge\text{)}}}`

`\implies C = }{2\pi (11)\huge{\text(}(315)/(360)\huge\text{)}}}`
`\implies C = }{22\pi \huge{\text(}(315)/(360)\huge\text{)}}} = 60.5 \ \text{m}`

Therefore, Option A is the correct option.