Question

which of the following statements is true?
a. diameter × circumference = pi
b. diameter × pi = circumference
c. circumference × pi = diameter
d. diameter ÷ pi = circumference

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \(C\) of a circle is \(C = \pi\times d\), where \(d\) is the diameter of the circle.

Step2: Analyze each option

• Option A: \(d\times C=\pi\). Since \(C = \pi d\), then \(d\times C=d\times(\pi d)=\pi d^{2}

eq\pi\).

• Option B: \(d\times\pi = C\). This is exactly the formula \(C=\pi d\).
• Option C: \(C\times\pi=d\). Since \(C = \pi d\), then \(C\times\pi=\pi d\times\pi=\pi^{2}d

eq d\).

• Option D: \(d\div\pi = C\). Since \(C=\pi d\), \(d\div\pi=\frac{d}{\pi}

eq\pi d\).

Answer:

B. Diameter × pi = circumference