IXL - Understand arc length and sector area of a circle (Geometry practice)

In circle

is highlighted.

∠

measures

What fraction of the circle is highlighted?

Simplify your answer.

Which expression represents the length of

in inches?

(

)

(

)

(

)

(

)

ref_doc_title.

Learn with an example

question

In circle

is highlighted.

measures

What fraction of the circle is highlighted?

Simplify your answer.

Which expression represents the length of

in centimeters?

(

)

(

)

(

)

(

)

key idea

In a circle, a central angle and the arc it intercepts have the same degree measure.

This is the formula for the circumference of a circle with radius

solution

In circle

the arc that is not highlighted,

is intercepted by central angle

∠

So, they have the same measure,

The measure of a full circle is

360

So,

360

of circle V is not highlighted. Simplify the fraction.

360

Since

of the circle is not highlighted, the other

is highlighted.

This means the length of

of the circumference of circle

length of

Use the circumference formula

and then plug in

centimeter.

length of

(

)

(

)

(

)

Looking for more? Try these:

Lesson: Arc length

Lesson: Area of sectors

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.9Area and circumference of circles

W.2Central angles and arc measures

Lesson: Arc length

Lesson: Area of sectors

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