Question

question 9
find the radius and area of a circle with a circumference of 31.4.
round your answer to the nearest tenth. use 3.14 for π.
radius =
area =
question 10
find the area of the figure pictured below.
3 m

Explanation:

For Question 9:

Step1: Recall the circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius. We know \( C = 31.4 \) and \( \pi = 3.14 \). We need to solve for \( r \).
\[
31.4 = 2 \times 3.14 \times r
\]

Step2: Solve for radius \( r \)

First, calculate \( 2 \times 3.14 = 6.28 \). Then, divide both sides of the equation by \( 6.28 \):
\[
r=\frac{31.4}{6.28} = 5.0
\]

Step3: Recall the area formula

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). We know \( r = 5.0 \) and \( \pi = 3.14 \).

Step4: Calculate the area

Substitute \( r = 5.0 \) into the area formula:
\[
A=3.14\times(5.0)^{2}=3.14\times25 = 78.5
\]

Answer:

Radius = \( 5.0 \) (units, assumed from context), Area = \( 78.5 \) (square units, assumed from context)

For Question 10:

Since the figure is not fully visible (only "3 m" is shown), we can't provide a solution without more details about the figure (e.g., if it's a square, circle, triangle, etc.). If you can provide more details about the figure (like its shape, other dimensions), we can solve it.