# The area of the circular sector is 10M ^ 2 and its radius is 6m. Find the central corner of the sector.

January 13, 2021 | education

| The area of the circular sector is calculated by the formula:

Ssec = nr ^ 2 * α / 360 °, where r is the radius of the given circle, α is the central angle of the sector.

Knowing the radius of the circle and the area of the sector, we can find the central angle:

α = Ssec * 360 / nr ^ 2 = 10 * n * 360 / n * 6 ^ 2 = 10 * n * 360 / n * 36 = 100 °.

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