The length of an arc of a circle corresponding to a central angle of 250 ° is 20cm. What is the radius of the circle?
| May 27, 2021 | education
A circular arc is the part of this circle that is enclosed between two radii.
The radius of a circle can be found using the formula for the length of an arc of a circle. The length of an arc of a circle is equal to the product of the number Pi and the radius of the circle by the central angle that rests on it, divided by 180 degrees:
L = πrα / 180 °;
r = (L · 180 °) / π · α;
r = 20 180 / 3.14 250 = 3600/785 = 4.585 ≈ 4.6 cm.
Answer: the radius of the circle is 4.6 cm.
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.
