Question

find the area of the circle. use your calculator’s value for $\pi$. round your answer to the nearest hundredth.
69.)
circle with radius 6.9 yd
=
70.)
circle with radius 2.6 km
=

Explanation:

Problem 69:

Step1: Recall the formula for the area of a circle.

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

Step2: Identify the radius.

From the diagram, the radius \( r = 6.9 \) yd.

Step3: Substitute the radius into the formula.

Substitute \( r = 6.9 \) into \( A = \pi r^2 \):
\( A = \pi \times (6.9)^2 \)

Step4: Calculate \( (6.9)^2 \).

\( 6.9^2 = 6.9 \times 6.9 = 47.61 \)

Step5: Multiply by \( \pi \) (using calculator's value for \( \pi \)).

Using a calculator, \( \pi \times 47.61 \approx 3.1415926535 \times 47.61 \approx 149.57 \) (rounded to the nearest hundredth).

Step1: Recall the formula for the area of a circle.

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

Step2: Identify the radius.

From the diagram, the radius \( r = 2.6 \) km.

Step3: Substitute the radius into the formula.

Substitute \( r = 2.6 \) into \( A = \pi r^2 \):
\( A = \pi \times (2.6)^2 \)

Step4: Calculate \( (2.6)^2 \).

\( 2.6^2 = 2.6 \times 2.6 = 6.76 \)

Step5: Multiply by \( \pi \) (using calculator's value for \( \pi \)).

Using a calculator, \( \pi \times 6.76 \approx 3.1415926535 \times 6.76 \approx 21.23 \) (rounded to the nearest hundredth).

Answer:

The area of the circle is approximately \( 149.57 \) square yards.

Problem 70: