The area of a circular sector with a central angle of 50 g is equal to 3m2. Find the radius of the circle.

To calculate the area of a circular sector with angle a, we apply the following formula:

S = (n * R ^ 2 * a) / 360 °.

We know from the condition that the area of a circular sector with a central angle of 50 ° is 3 m ^ 2. And we need to find the radius of the circle.

From the formula that we remembered above, we will express the radius of the circle using identical transformations:

n * R ^ 2 * a = S * 360 °;

R ^ 2 = (S * 360 °) / (n * a);

R = √ (S * 360 °) / (n * a);

It remains to substitute the values into the formula and perform calculations:

R = √ (3 * 360 °) / (3.14 * 50 °) = 2.6 m.