Question

The sector area of a region of a circle is 23 mi². The central angle, 0 (theta), is 25°. What is the radius?

Answer 1

The radius of the sector is 10.27 miles

How to find the radius of a sector?

The area of a sector can be represented as follows;

area of a sector = ∅ / 360 × πr²

where

• r = radius
• ∅ = central angle

Therefore,

∅= 25 degrees

area of the sector  = 23 miles²

area of a sector = ∅ / 360 × πr²

23 = 25 / 360 × πr²

cross multiply

23 × 360  = 25πr²

8280 = 25πr²

divide both sides by 25

πr² =  8280 / 25

πr² =  331.2

r² =  331.2 / 3.14

r² = 105.477707006

r = √105.477707006

r = 10.2702336877 miles

Therefore, the radius of the sector is 10.27 miles

learn more on sector here: brainly.com/question/8488428

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