Question

Длинна дуги 20π ,а ее градусная мера 150°. Найти S сектора.​

Answer 1

Ответ:

S=10π

Объяснение:

Из формулы  длины дуги найдем радиус:

L=(πR²n°)/180

20π=(πR²*150)/180

20π=(πR²*5)/6

24=R²

R=2√6 (cм) радиус

Площадь сектора находится по формуле S=(πR²n°)/360

S=(π(2√6)²150)/360

S=(π*4*6*5)/12

S=(π*6*5)/3

S=10π

Answer 2

Calculation of the Sector Area

To find the area of a sector, we need to know the length of the arc and the degree measure of the central angle.

Given: - Length of the arc = 20π - Degree measure of the central angle = 150°

To find the area of the sector, we can use the formula:

S = (θ/360) * π * r^2

Where: - S is the area of the sector - θ is the degree measure of the central angle - π is a mathematical constant (approximately 3.14159) - r is the radius of the circle

In this case, we are not given the radius of the circle. Therefore, we cannot calculate the exact area of the sector without this information.

If you have the radius of the circle, please provide it so that we can calculate the area of the sector for you.