Answer:
[tex]\text{Area of sector is }3m^2[/tex]
Step-by-step explanation:
Given a circle of area [tex]24m^2[/tex]
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
[tex]\frac{45^{\circ}}{360^{\circ}}=\frac{1}{8}[/tex]
[tex]\text{Total area of circle = }24m^2[/tex]
[tex]\text{Area of }\frac{1}{8} \text{ part of circle is }=\frac{1}{8}\times24=3m^2[/tex]
[tex]\text{Area of sector is }3m^2[/tex]
