3 years ago

what is the measure the central angle of a circle with radius 75 cm that subtends an arc whose length is 125(pie) cm?

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

The arc subtends an angle of 300° .

Step-by-step explanation:

Radius = 75 cm

Arc length = 125π cm

Arc length = (θ/360) (2πr)

125π = (θ/360) (2π x 75)

125π = (θ/360) (150π)

125π/150π = (θ/360)

5/6 = (θ/360)

(5/6) (360) = θ

θ = 300°

The arc subtends an angle of 300° .

You might be interested in

a diagram shows one of the post at the end of Manuel driveway it length is 11.5 the breadth is 11.5 and the width is 7.4 what is

lisov135 [29]

Because vol= length x width x height , and assuming that the height is 11.5 because breadth means width but you already have a width then, vol= 11.5 x 7.4 x 11.5, vol = 978.65

6 0

3 years ago

Read 2 more answers

What is the measure of angle c in degrees? *<br> 150<br> 30<br> 90<br> 60

Dmitry [639]

Answer:

Option (2)

Step-by-step explanation:

Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.

From the figure attached,

m∠C = $\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]$

= $\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]$

= $\frac{1}{2}[360-2m(\widehat{AB})]$

= $180-m\widehat{AB}$

= 180 - 150

= 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.

4 0

3 years ago

Two sisters share a lottery win of $1,400,000. If

Sedaia [141]

Answer:

$600,000:$800,000

Step-by-step explanation:

3 0

2 years ago

Using a 21 sided polygon as a base,complete the following table:

alex41 [277]

Answer: i dont understand

Step-by-step explanation:

7 0

3 years ago

Need help please thanks

tangare [24]

Answer:

i think it would be b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers