Knowee
Questions
Features
Study Tools

A circular arc has a length of 5𝜋m. If the radius of the arc is 4m, find the central angle of the arc (that is, the angle formed by the two radii that intercept the arc).Give your answer in radians, correctly rounded to three significant figures. Do not give units with your answer.

Question

A circular arc has a length of 5𝜋m. If the radius of the arc is 4m, find the central angle of the arc (that is, the angle formed by the two radii that intercept the arc).Give your answer in radians, correctly rounded to three significant figures. Do not give units with your answer.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The formula to find the length of an arc is given by:

Length of arc = radius * central angle

In this case, we know the length of the arc (5π m) and the radius (4 m). We can rearrange the formula to solve for the central angle:

Central angle = Length of arc / radius

Substituting the given values:

Central angle = 5π / 4 = 1.25π radians

So, the central angle of the arc is 1.25π radians.

Similar Questions

In a circle with radius 288 meters, an arc is intercepted by a central angle with measure 125 degrees. Find the arc length.*36,000 meters28,800 meters200pi meters100pi meters

The circle below has center C, and its radius is 4in. Given that =m∠DCE130°, find the length of the major arc DFE.Give an exact answer in terms of π, and be sure to include the correct unit in your answer.

Given that a circle has a radius of 7cm and an arc of length 9cm is subtended by a central angle 𝜃, find the measure of 𝜃 in degrees. Give your answer to 3 significant figures without the symbol ∘ or the word ‘degrees’.

An angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.In the figure,  AB is the diameter of the circle, find the value of  ∠ACD

The circle below has center V, and its radius is 3ft. Given that =m∠WVX140°, find the length of the minor arc WX.Give an exact answer in terms of π, and be sure to include the correct unit in your answer.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.