Question

знайдіть площу сектора круга радіус якого 6 см якщо відповідний йому центральний кут дорівнює 100°​

Answer 1

Given:

знайдіть площу сектора круга радіус якого 6 см якщо відповідний йому центральний кут дорівнює 100°​

Find the area of ​​a sector of a circle whose radius is 6 cm if the corresponding central angle is 100°

To find:

The area of the sector

Solution:

The radius of the circle, r = 6 cm

The central angle of the circle, θ = 100°

Since the θ given in the question is measured in degrees, so we will use the following formula for calculating the area of the sector:

$\boxed{\bold{Area \:of\:a\:sector = \frac{\theta}{360\°} \times \pi r^2}}$

Now, by substituting the given values of θ and r in the above formula, we get

The area of the sector of the given circle is,

= $\frac{100\° }{360\°} \times \frac{22}{7} \times 6^2}}$

= $\frac{100\° }{360\°} \times \frac{22}{7} \times 36}}$

= $\frac{100\° }{10\°} \times \frac{22}{7} }}$

= $10 \times \frac{22}{7}$

= $\frac{220}{7}$

= $\bold{31.42 \:cm^2}$

Thus, the area of ​​a sector of the circle is → 31.42 cm².

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Answer 2

Answer:

Step-by-step explanation: