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coldgirl [10]
3 years ago
12

An arc with a measure of 190° has an arc length of 40

\pi" align="absmiddle" class="latex-formula">centimeters. What is the radius of the circle on which the arc sits?
Mathematics
2 answers:
Anna007 [38]3 years ago
4 0

Answer:

37.9 cm

Step-by-step explanation:

Arc length is:

s = 2πr (θ/360°)

where r is the radius and θ is the arc angle.

40π cm = 2πr (190°/360°)

20 cm = r (190°/360°)

r = 37.9 cm

Yuki888 [10]3 years ago
4 0

Answer: the radius of the circle on which the arc sits is 3.8 cm

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 190 degrees

Length of arc = 40π centimeters

Therefore,

40π = 190/360 × 2 × π × r

Dividing both sides of the equation by π, it becomes

40 = 380r/360

380r = 40 × 360 = 1440

r = 1440/380

r = 3.8 to the nearest tenth

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