Find the degree measure of a circular sector with a radius of 10 cm, if its area is: 5П cm2?
| May 14, 2021 | education
To find out the degree measure of the considered circular sector, we will use the formula: S = α * Π * R ^ 2 / 360º, whence we can express: α = S * 360º / (Π * R ^ 2).
Data: S – area of the considered circular sector (S = 5Π cm2); R – sector radius (R = 10 cm).
Let’s calculate: α = S * 360º / (Π * R ^ 2) = 5Π * 360º / (Π * 10 ^ 2) = 5 * 360º / 100 = 1800º / 100 = 18º.
Answer: The degree measure of the circular sector under consideration is 18º.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
