Determine the arc length of a circle with a radius of 8 cm ifa) the central angle is 3.5

The formula to calculate the arc length of a circle is:

Arc length = (central angle/360) * 2πr

where:

• the central angle is in degrees,
• r is the radius of the circle,
• π is a constant approximately equal to 3.14159.

Given:

• central angle = 3.5 degrees,
• r = 8 cm.

Substitute these values into the formula:

Arc length = (3.5/360) * 2 * 3.14159 * 8

Now, calculate the arc length:

Arc length = 0.097222 * 2 * 3.14159 * 8 = 4.88692 cm.

So, the arc length of the circle with a radius of 8 cm and a central angle of 3.5 degrees is approximately 4.89 cm.

The formula to calculate the arc length of a circle is:

Arc length = (central angle/360) * 2πr

where:

• the central angle is in degrees,
• r is the radius of the circle,
• π is a mathematical constant whose approximate value is 3.14159.

Given:

• central angle = 3.5 degrees,
• r = 8 cm.

Substitute these values into the formula:

Arc length = (3.5/360) * 2 * 3.14159 * 8

Now, calculate the arc length:

Arc length = 0.097222 * 2 * 3.14159 * 8 = 4.88692 cm.

So, the arc length of the circle with a radius of 8 cm and a central angle of 3.5 degrees is approximately 4.89 cm.