Answer:
The area of circle is 1215.18 yd²
Step-by-step explanation:
A 20° sector in a circle has an area of 21.5π yd²
Formula:
[tex]\text{Area of sector }=\dfrac{\theta}{360^\circ}\times \pi r^2[/tex]
Where,
Area of sector = 21.5π yd²
Angle of sector = 20°
[tex]21.5\pi = \dfrac{20^\circ}{360^\circ}\times \pi r^2[/tex]
[tex]r^2=18\times 21.5[/tex]
[tex]r=19.67\text{ yd}[/tex]
Now we will find the area of circle.
[tex]\text{Area of circle }=\pi r^2[/tex]
[tex]\text{Area of circle }=\pi \cdot 18\times 21.5=1215.18\text{ yd}^2[/tex]
Hence, The area of circle is 1215.18 yd²
