Questions: The diameter of a circle is 90 in. Find its circumference.

Transcript text: The diameter of a circle is 90 in. Find its circumference.

Solution

Solution Steps

To find the circumference of a circle given its diameter, we can use the formula \( C = \pi \times d \), where \( C \) is the circumference and \( d \) is the diameter. Given that the diameter is 90 inches, we can substitute this value into the formula to find the circumference.

Step 1: Given Information

The diameter of the circle is given as \( d = 90 \) inches.

Step 2: Circumference Formula

To find the circumference \( C \) of the circle, we use the formula: \[ C = \pi \times d \]

Step 3: Substituting the Diameter

Substituting the given diameter into the formula: \[ C = \pi \times 90 \]

Step 4: Calculating the Circumference

Calculating the value: \[ C \approx 282.7433 \text{ inches} \] Rounding to four significant digits, we have: \[ C \approx 282.7 \text{ inches} \]