Question

A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to the nature center and then from the nature
center to the petting zoo. How far does he drive to the nearest tenth of a mile?

A) 1.7 miles
B) 2.3 miles
C) 3.7 miles
D) 4.7 miles

Answer 1

Answer:

B) 2.3 miles

Step-by-step explanation:

This is a circle so in geometry we know a bit of formulas for this shape.

In this case we're calculating part of the perimeter of this circle.

From Ranger Station to Petting Zoo.

It tells us that the radius of this circle is 1 mile.

So perimeter of circle is: 6.28

Formula: 2πr

Now we need to find the fraction of the perimeter we're solving for: They state the sector of the circle's degree is 90+40=130 degrees.

So 130 degrees divided by 360 degrees. is 13/36. Now we can multiply 13/36 by 6.28, we get 2.26, which is 2.3 rounded to the nearest tenth.

Of course we also need to use our units miles, so 2.3 miles.

Hope this helps!