Question

Знайдіть градусну міру кругового сектора радіуса 5 см якщо його площа дорівнює 10 п

Answer 1

Ответ:

За формулою S= пR^2/ 360, знаходимо =360S/пR^2

=5п*360/п*100, =18гр

Answer 2

Finding the Degree Measure of a Circular Sector

To find the degree measure of a circular sector, we need to use the formula that relates the area of the sector to the area of the entire circle. The formula is as follows:

Degree measure of sector = (Area of sector / Area of circle) * 360 degrees

In this case, we are given that the radius of the sector is 5 cm and its area is 10 square cm. We can use this information to find the degree measure of the sector.

First, let's find the area of the entire circle using the formula:

Area of circle = π * r^2

where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

Substituting the given radius of 5 cm into the formula, we get:

Area of circle = 3.14159 * 5^2 = 3.14159 * 25 = 78.53975 square cm

Now, we can substitute the given area of the sector (10 square cm) and the area of the circle (78.53975 square cm) into the formula to find the degree measure of the sector:

Degree measure of sector = (10 / 78.53975) * 360 degrees

Calculating this expression, we find:

Degree measure of sector ≈ 45.72 degrees

Therefore, the degree measure of the circular sector with a radius of 5 cm and an area of 10 square cm is approximately 45.72 degrees.

Please note that the degree measure is an approximation since we rounded the result to two decimal places.

I hope this helps! Let me know if you have any further questions.