carlos needs to chain his dog, he attaches a 13-meter chain to the corner of a dog house that measures 9m by 5m. How much area does the dog have to run around? Round to the nearest tenth.

you need to sketch this out. At each corner, you will draw an arc of radius whatever chain is left, measured from the tie point. Look at the areas, and add them

make sure you start with a diagram.

extend the lines to length 13 for both sides of the dog-house, starting at the point where the dog is tied.
So I see 3/4 of a circle with radius 13 + 1/4 of a circle with radius8 + 1/4 of a circle with radius 4

total area = (3/4)π(13^2) + (1/4)π(8^2) + (1/4)π(4^2)
= 461.0 m^2

To determine how much area the dog has to run around, we need to find the area of the circular region that is formed by the chain when it's fully extended. Here's how you can calculate it:

1. Start by visualizing the situation. Imagine a circular shape with the dog house at its center and the chain forming the radius of the circle.

2. Since the radius of the circle is equal to the length of the chain that is attached to the corner of the dog house, we can conclude that the radius will be 13 meters.

3. The formula for calculating the area of a circle is A = πr², where A represents the area and r represents the radius.

4. Plug in the value of the radius into the formula: A = π(13)².

5. Evaluate the equation: A = π(169).

6. Use an approximation of π, which is commonly rounded to 3.14159: A ≈ 3.14159(169).

7. Calculate the value: A ≈ 530.6581.

8. Round the result to the nearest tenth: A ≈ 530.7 square meters.

Therefore, the dog has approximately 530.7 square meters of area to run around when Carlos attaches a 13-meter chain to the corner of the dog house.