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bagirrra123 [75]
3 years ago
8

Which radian measure is equivalent to 145°? 32π/15 36π/29 29π/36 15π/32

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Hello!

To convert a degree measure to radian measure, we will need to multiply it by  π/180 because one radian is equal to π/180, and exactly 180 degrees.

Given the degree measure of 145, we can multiply it by π/180 and simplify it.

145° × π/180 = 145π/180

145π/180 can be simplified to 29π/36.

Therefore, the radian measure 29π/36 (third choice) is equal to 145 degrees.

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Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F
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Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran  3\frac{1}{2}  laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find :  About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle :  2\pi r

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

2\pi *0.25

0.5\pi

Since \pi =3.14

⇒0.5*3.14

⇒1.57

Thus the circular track is of 1.57 miles .

Since she ran   3\frac{1}{2}  = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence ,  Francine run 5.495 miles


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