Questions: Find the area of the circle with the given diameter. d=35 cm The area is cm^2. (Type your answer using the appropriate number of significant digits.)

Solution Steps

Given the diameter \( d = 35 \, \text{cm} \), the radius \( r \) can be calculated as: \[ r = \frac{d}{2} = \frac{35}{2} = 17.5 \, \text{cm} \]

The area \( A \) of a circle is given by the formula: \[ A = \pi r^2 \] Substituting the value of the radius: \[ A = \pi (17.5)^2 = \pi \times 306.25 \approx 962.1127501618741 \, \text{cm}^2 \]

To express the area with the same number of significant digits as the diameter (which has 2 significant digits), we round the area: \[ A \approx 962.11 \, \text{cm}^2 \]

Final Answer