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What is the radius of circle M?


What Is The Radius Of Circle M class=

Sagot :

Answer:

The radius is just under 4 cm.

Step-by-step explanation:

The central angle for the entire circle is 360 degrees.

The fraction (89/360)(total circle area) = 12.36m^2.

Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.

Area of a circle (in general) is A = πr²

Here we know A and π and must find r² and then r:

                                        A

A = πr² becomes r² = ----------

                                        π

Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2

and r = square root of r² = 3.99, or approximately 4 cm