Question

What is the length of an arc subtended by an angle of 1.25 radians in circles with a diameter of 24cm?

Answer 1

To find the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm, you can use the formula:

Arc Length = radius * angle

First, find the radius of the circle, which is half of the diameter:

Radius = 24 cm / 2 = 12 cm

Then, plug in the values into the formula:

Arc Length = 12 cm * 1.25 radians = 15 cm

So, the length of the arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm is 15 cm.

Answer 2

Answer:

see below

Step-by-step explanation:

The length of an arc subtended by an angle can be calculated by using the formula:

length of an arc = radius × angle in radians

We are given a circle with diameter of 24cm. First, let's calculate the radius of the circle,

• Radius = diameter/2
• Radius = 24/2
• Radius = 12 cm

As we have get the required value of radius. Now, plug in the values into the formula to calculate the length of the arc :

• length of arc = 12 × 12.5
• length of arc = 15 cm

So, the length of the arc subtended by an angleis 15 cm.