violetaelise
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

please help find the central angle and perimeter !

Please Help Find The Central Angle And Perimeter class=

Sagot :

armandoalturas

Step-by-step explanation:

We will have the following

*First: We have that the area of a sector of a circle is given by the expression:

A = r²a/2

Here r is the radius and alpha is the central angle.

*Second: We determine the central angle as follows:

[tex]36\pi =[/tex]

(12)²a/2 ➡️ a = 36í•2/(12) ²➡️

[tex]a = \frac{1}{2} \pi[/tex]

So, the central angle has a measurement of 1/2 pi.

Third: We determine the perimeter of the sector as follows:

First: we determine the arc length with two times the radius, that is:

p = 2(12) +

[tex]6\pi[/tex]

➡️ p = 24 +

[tex]6\pi[/tex]

So, the perimeter of the sector is 24+ 6pi meters [ Approximately 43 meters].

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.