Question

A circle has an area of 24 m2. what is the area of a 45 sector of this circle

Answer 1

Answer:

$\text{Area of sector is }3m^2$

Step-by-step explanation:

Given a circle of area $24m^2$

we have to find the area of sector of angle 45° of circle.

Angle at the center of circle is 360°  

Part of circle which gives the sector is

$\frac{45^{\circ}}{360^{\circ}}=\frac{1}{8}$

$\text{Total area of circle = }24m^2$  

$\text{Area of }\frac{1}{8} \text{ part of circle is }=\frac{1}{8}\times24=3m^2$

$\text{Area of sector is }3m^2$

Answer 2

We know that

if a 360° (full circle)  has an area of-------------------> 24 m²
 45°----------------------------------------------------> X
X=45°*24/360°------------> X=3 m²

the answer is
3 m²