Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The area of a sector of a circle with a central angle of 40° is 20ft^2. Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.__ ft

Sagot :

In order to find the radius of the circle use the following formula for the area of a piece of circle with a given central angle:

[tex]A=\frac{\theta}{360}\pi r^2[/tex]

in this case you have:

A = 20 ft²

θ = 40°

r = ?

first, solve for r in the given formula and then replace the value of A:

[tex]\begin{gathered} r=\sqrt[]{\frac{360}{\theta\pi}A} \\ r=\sqrt[]{\frac{360}{40\pi}(20)}ft\approx7.6ft \end{gathered}[/tex]

Hence, the radius of th cricle is r = 7.6 ft

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.