Question

match each radius or diameter with the circumference of the circle it represents.
radius = 5 cm
diameter = 5 cm
radius = 10 cm
c = 10π cm c = 5π cm c = 20π cm

Explanation:

Step1: Recall Circumference Formula

The formula for the circumference \( C \) of a circle is \( C = \pi d \) (where \( d \) is the diameter) or \( C = 2\pi r \) (where \( r \) is the radius), and we know that \( d = 2r \).

Step2: Calculate for Radius = 5 cm

Using \( C = 2\pi r \), substitute \( r = 5 \) cm:
\( C = 2\pi(5) = 10\pi \) cm.

Step3: Calculate for Diameter = 5 cm

Using \( C = \pi d \), substitute \( d = 5 \) cm:
\( C = \pi(5) = 5\pi \) cm.

Step4: Calculate for Radius = 10 cm

Using \( C = 2\pi r \), substitute \( r = 10 \) cm:
\( C = 2\pi(10) = 20\pi \) cm.

Answer:

• Radius = 5 cm \(

ightarrow \) \( C = 10\pi \) cm

• Diameter = 5 cm \(

ightarrow \) \( C = 5\pi \) cm

• Radius = 10 cm \(

ightarrow \) \( C = 20\pi \) cm