Question

СРОЧНО!!! РЕШИТЕ ЗАДАЧУ, ПОЖАЛУЙСТА!!! Дуга кругового сектора с радиусом 12 и центральным углом в 105°приведена в форму окружности. Найдите радиус этой окружности. СРОЧНО!!!

Answer 1

S=3.14*144/360*120=150.72

R=150.72/3.14под корнем это выражение и =6,92820323

Answer 2

Task: Finding the radius of a circle given a circular sector with a radius of 12 and a central angle of 105°.

To find the radius of the circle, we can use the formula for the circumference of a circle and the relationship between the central angle and the circumference of a sector.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius of the circle.

The relationship between the central angle and the circumference of a sector is:

C = (θ/360) * 2πr

where θ is the central angle of the sector.

In this case, we are given a circular sector with a radius of 12 and a central angle of 105°. Let's calculate the radius of the circle.

Solution:

First, let's calculate the circumference of the sector using the given central angle and radius:

C = (105/360) * 2π * 12

Now, let's calculate the radius of the circle using the formula for the circumference of a circle:

C = 2πr

(105/360) * 2π * 12 = 2πr

Simplifying the equation:

r = (105/360) * 12

Now, let's calculate the value of r:

r = (105/360) * 12 = 3.5

Therefore, the radius of the circle is 3.5.

Please note that the calculation is based on the given information and the formulas for the circumference of a circle and the relationship between the central angle and the circumference of a sector.