Thank you for visiting What is the area of sector AEB when AE 8yd. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer:
[tex]16\pi \text{ yd}^2[/tex]
Step-by-step explanation:
Since, the area of a sector of a circle,
[tex]A=\frac{\theta}{360}\times \pi (r)^2[/tex]
Where, r is the radius of the circle,
[tex]\theta[/tex] ( in degree ) is the central angle formed by the arc of the sector,
By the given diagram,
The radius of the circle, r = AE = 8 yd,
Central angle by the arc AB, [tex]\theta[/tex] = 90°,
Hence, the area of the sector AEB,
[tex]A=\frac{90}{360}\times \pi(8)^2[/tex]
[tex]=\frac{1}{4}\times 64\pi[/tex]
[tex]=16\pi\text{ yd}^2[/tex]
Thank you for reading the article What is the area of sector AEB when AE 8yd. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
Rewritten by : Jeany
