Question

9 what is the circumference of the circle shown below? write your answer in terms of π and rounded to the nearest hundredth.
in terms of π
rounded

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius of the circle.

Step2: Identify the radius from the diagram

From the diagram, the radius \( r = 15 \) units.

Step3: Calculate the circumference in terms of \( \pi \)

Substitute \( r = 15 \) into the formula: \( C = 2\pi\times15 = 30\pi \).

Step4: Calculate the rounded value (using \( \pi\approx3.14159 \))

\( C = 30\times3.14159 \approx 94.2477 \), which rounds to \( 94.25 \) when rounded to the nearest hundredth.

Answer:

• In terms of \( \pi \): \( 30\pi \)
• Rounded to the nearest hundredth: \( 94.25 \)