The generatrix of the cone is 13, and its height is 12. Find the axial area of the cone.
| August 10, 2021 | education
The axial section of the cone is an isosceles triangle ABC, at the base of which lies the diameter of the circle at the base of the cone. AC = D.
The height of BО is perpendicular to AC, and then the triangle BОС is rectangular, in which, according to the Pythagorean theorem, we determine the length of the leg OC.
OC ^ 2 = R ^ 2 = BC ^ 2 – BO ^ 2 = 169 – 144 = 25.
R = OS = 5 cm, then AC = 2 * OS = 2 * 5 = 10 cm.
Then Ssec = АС * ОВ / 2 = 10 * 12/2 = 60 cm2.
Answer: The axial section area is 60 cm2.
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.
