Question

Find the length of AB using the given measure of AB in a circle withdiameter of 9 feet. Round to the nearest hundredth.mAB=45°

Answer 1

The question requires that we get the measure of the arc AB

Given: Diameter of circle = 9 feet.

We can then obtain the radius of the circle which is half of the diameter of the circle

Radius = Diameter/2 = 9/2 = 4.5 feet

Length of an arc can be obtained using:

`\text{Length of arc =}\frac{\emptyset}{360\text{ }}\text{ x 2}\pi r`

where r = radius

`\begin{gathered} \pi\text{ = 3.14} \\ \emptyset\text{ = angle substended at the center} \end{gathered}`

QUESTION 1

Given that the angle subtended by the arc at the center = 45 degrees

We can then substitute the values into the equation

`\begin{gathered} \text{Length of arc =}(45)/(360)\text{ x 2 x 3.14 x 4.5} \\ \\ \text{Length of arc = 3.53 f}eet \end{gathered}`

Length of arc = 3.53 feet (To the nearest hundredth )