A circle is divided into equal parts. An angle turns through one of the parts, as
shown below. Which equation shows a way to find the measure of the angle?

A circle is divided into equal parts An angle turns through one of the parts as shown below Which equation shows a way to find the measure of the angle class=

Respuesta :

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

More about the circle link is given below.

https://brainly.com/question/11833983

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