Question

13. Number of sectors with central angle [60]^O
in a circle is
6
7
4
10
​

Answer 1

Answer:

6

Step-by-step explanation:

360/60 = 6

so, 6 sectors

Answer 2

Given:

The central angle in a circle is 60°

To find:

No. of sectors that can be formed in the given circle

Solution:

We know that,

Central Angle: The angle which is subtended by the arc between any two points on the circumference of the circle and the arc length of the circle is known as the central angle. it is denoted as "θ".

The central angle "θ" in a circle ranges from

0° < θ < 360° ← in terms of degree

0 < θ < 2$\bold{\pi}$ ← in terms of radians

Sector: It is that portion of the circle which is formed by two radii of the circle and the arc between any two points. It looks just like a slice of a pizza cut from an entire pizza.

Now,

Here we are given the measure of the central angle (in terms of degrees) of each sector in the circle as, θ = 60°

The sum of the central angle of all the sectors in a circle = 360°

∴ The required no. of sectors is,

= $\frac{360}{60}$

= $\bold{6}$

Thus, the number of sectors with central angle 60° in a circle is 6.

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