Question

If the radius of a circle is 5 units, in square units what is the sector area given m(arc)=142

Answer 1

Answer:

The correct option is  30.6

Therefore,

Area of Sector is 30.6 units².

Step-by-step explanation:

Given:

Central angle = θ = 142°

Radius = r = 5 units

pi = 3.14

To Find:

Area of Sector = ?

Solution:

If the θ  measured in degree then the Area of Sector is given as

$\textrm{Area of Sector}=\dfrac{\theta}{360\°}\times \pi r^{2}$

Where r = radius, θ = Central angle

On substituting the values we get

$\textrm{Area of Sector}=\dfrac{142}{360\°}\times \pi (5)^{2}$

$\textrm{Area of Sector}=0.39\times 3.14\times (5)^{2}$

$\textrm{Area of Sector}=30.615\ units^{2}$

Therefore,

Area of Sector is 30.6 units².