Questions: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is □ miles.

Transcript text: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is $\square$ miles. Question Help: Worked Example 1

Solution

Solution Steps

Step 1: Understand the Problem

We are given a circle with radius $r = 5$ and a central angle $ heta = 3$ radians. We need to find the length of the arc that this angle subtends.

Step 2: Apply the Formula

The length of the arc $L$ can be found using the formula $L = r \times \theta$.

Step 3: Substitute the Values and Calculate

Substituting the given values, we get $L = 5 \times 3 = 15$.

Step 4: Round the Result

Rounding the result to 2 decimal places, we get $L = 15$.

Final Answer:

The length of the arc is approximately 15 units.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!