Question

the clock face in a famous clock tower has a radius of about 4 meters. what is the area of the clock face to the nearest square meter? use 3.14 as an approximation for π.
○ 201 square meters
○ 50 square meters
○ 13 square meters
○ 25 square meters

Explanation:

Step1: Recall the area formula for a circle

The area \( A \) of a circle is given by the formula \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given values

We know that the radius \( r = 4 \) meters and \( \pi \approx 3.14 \). Substituting these values into the formula, we get \( A = 3.14 \times (4)^2 \).

Step3: Calculate the square of the radius

First, calculate \( 4^2 = 16 \).

Step4: Multiply to find the area

Now, multiply \( 3.14 \) by \( 16 \): \( 3.14 \times 16 = 50.24 \).

Step5: Round to the nearest square meter

Rounding \( 50.24 \) to the nearest whole number gives \( 50 \).

Answer:

50 square meters