Step 1/21
First, we need to recall the formula for the area of a circle, which is given by:
Area = π * r^2
where r is the radius of the circle.
Now, let's find the area for each given radius:
Step 2/21
1. Radius = 6 dm
Area = π * (6 dm)^2 = π * 36 dm^2
Step 3/21
2. Radius = 9 cm
Area = π * (9 cm)^2 = π * 81 cm^2
Step 4/21
3. Radius = 10 cm
Area = π * (10 cm)^2 = π * 100 cm^2
Step 5/21
4. Radius = 1 dm
Area = π * (1 dm)^2 = π * 1 dm^2
Step 6/21
5. Radius = 5.5 cm
Area = π * (5.5 cm)^2 = π * 30.25 cm^2
Now, let's answer the post-test questions:
Step 7/21
1. Diameter = 24 cm, so radius = 12 cm
Area = π * (12 cm)^2 = π * 144 cm^2
Step 8/21
2. Diameter = 12 meters, so radius = 6 meters
Area = π * (6 m)^2 = π * 36 m^2
Step 9/21
3. Radius = 16 cm
Area = π * (16 cm)^2 = π * 256 cm^2
Step 10/21
4. Diameter = 60 cm, so radius = 30 cm
Area = π * (30 cm)^2 = π * 900 cm^2
Step 11/21
5. Diameter = 30 cm, so radius = 15 cm
Area = π * (15 cm)^2 = π * 225 cm^2
So, the areas are:
Step 12/21
1. $\boxed{36\pi\,\text{dm}^2}$
Step 13/21
2. $\boxed{81\pi\,\text{cm}^2}$
Step 14/21
3. $\boxed{100\pi\,\text{cm}^2}$
Step 15/21
4. $\boxed{\pi\,\text{dm}^2}$
Step 16/21
5. $\boxed{30.25\pi\,\text{cm}^2}$
Post-test:
Step 17/21
1. $\boxed{144\pi\,\text{cm}^2}$
Step 18/21
2. $\boxed{36\pi\,\text{m}^2}$
Step 19/21
3. $\boxed{256\pi\,\text{cm}^2}$
Step 20/21
4. $\boxed{900\pi\,\text{cm}^2}$
Show all steps
Answer
5. $\boxed{225\pi\,\text{cm}^2}$
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