Question

if a circle has a radius of 10 cm and the measure of arc AB is 45 degrees, find the length of the arc AB

Answer 1

The length of arc AB is 5π cm

Step-by-step explanation:

To find the length of arc AB, we can use the formula:

Length of Arc AB = (angle/360) x (2πr)

Given that the radius of the circle is 10 cm and the measure of arc AB is 45 degrees, we can substitute these values into the formula:

Length of Arc AB = (45/360) x (2π x 10) = (1/8) x (20π) = 5π cm

Answer 2

`\huge\boxed{\sf S= 7.85 \ cm}`

Step-by-step explanation:

Given:

arc AB = θ = 45 degrees

Radius = r = 10 cm

π = 3.14

Required:

Length = S = ?

Formula:

`\displaystyle S= (\theta)/(360) * 2 \pi r`

Solution:

Put the given data in the formula.

Finding arc length.

`\displaystyle S = (45)/(360) * 2(3.14)(10)\\\\S = 0.125 * 62.8\\\\S= 7.85 \ cm\\\\\rule[225]{225}{2}`