Chapter 10.9, Problem 3PSA

a)

To determine

To find : Length of the arc of a circle.

Answer to Problem 3PSA

  $4\pi$

Explanation of Solution

Given Information :

Radius of a circle = $10$

Arc of a circle = $72°$

Formula Used:

Length of arc $=\frac{\theta }{360}\times 2\pi r$

Calculation :

Length of arc $=\frac{72}{360}\times 2\pi \times 10=4\pi$

b)

To determine

To find : Length of the arc of a circle.

Answer to Problem 3PSA

  $5\pi$

Explanation of Solution

Given Information :

Radius of circle = $10$ .

Angle made by arc at it centre = $90°$

Formula Used:

Length of arc $=\frac{\theta }{360}\times 2\pi r$

Calculation :

Length of arc $=\frac{90}{360}\times 2\times \pi \times 10=5\pi$

c)

To determine

To find : Length of the arc of a circle.

Answer to Problem 3PSA

  $\frac{10\pi }{3}$

Explanation of Solution

Given Information :

Radius of the circle = $10$

Angle made by arc at it centre = $60$

Formula Used:

Length of arc = $\frac{\theta }{360}\times 2\pi r$

Calculation :

Length of arc = $\frac{60}{360}\times 2\times \pi \times 10=\frac{10\pi }{3}$

d)

To determine

To find : Length of the arc of a circle.

Answer to Problem 3PSA

  $10\pi$

Explanation of Solution

Given Information :

Radius of circle = $10$

Angle made by arc at it centre = $180$

Formula Used:

Length of arc $=\frac{\theta }{360}\times 2\pi r$

Calculation :

Length of arc $=\frac{180}{360}\times 2\times \pi \times 10=10\pi$