Question

Знайдіть градусну міру кругового сектора з радіусом 10 см,якщо його площа дорівнює 5п см^

Answer 1

Дано:
R=10 см
S=5П см^
Знайти: 
α - ?

Розв'язання

S=П*R^2*α / 360
α = S*360 /  П*R^2 
α =  5П см^ * 360 /  П*100 = 18

Відповідь:  α=18 градусів

Answer 2

I can help you with your math question.

The formula for the area of a circular sector is $$S=\frac{\alpha}{360}\pi r^2$$, where $$\alpha$$ is the angle of the sector in degrees, and $$r$$ is the radius of the circle. Given the area and the radius, you can find the angle by rearranging the formula as follows:

$$\alpha=\frac{S}{\pi r^2}\times 360$$

Plugging in the values of $$S=5\pi \text{ cm}^2$$ and $$r=10 \text{ cm}$$, you get:

$$\alpha=\frac{5\pi}{\pi \times 100}\times 360$$

Simplifying the expression, you get:

$$\alpha=18$$

Therefore, the angle of the circular sector is 18 degrees.

This answer is consistent with the first web search result. The second result has a typo in the area, which leads to an incorrect answer. The third result has the same answer, but uses a different notation for the area.

I hope this helps you understand how to solve this problem. If you have any other questions, feel free to ask me.