The area of a circular sector with a central angle of 50 degrees is 3 m2. Calculate the radius of the circle.
| May 1, 2021 | education
If the total area of a circle of 360 ° is equal to n * R ^ 2, where R is the radius of the circle, then the area of a sector of such a circle of 50 ° is equal to
S = 50/360 * n * R ^ 2,
whence the required radius of the circle is
R = √ (S * 360 / (50 * p));
R = √ (3 * 360 / (50 * p)) = √ (21.6 / p) m ≈ 2.62 m.
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