Which circle has a radius that measures 10 units?
Answers
Radius is half the diameter.
From the diagrams given; D and H are not the diameters.
In circle G, the diameter is 10. So, its radius is 5.
In circle F, the diameter is 20. So its radius is half of 20. That is 10.
Answer:
Circle F
Step-by-step explanation
To find the diameter of a circle, use the formula D = 2r. This means that if we have our diameter, we can find the radius by doing inverse operations. Because we multiply to get our diameter, we have to divide to get the radius. We do this by taking each circle's diameter and dividing it by 2. We use the number 2 because the diameter is always 2 times the radius, or double of it. So, if the diameter is double, then the radius is half the diameter. So, let's look at our options:
Circle D: Circle D does not even have a diameter, but a chord. Therefore it is not the answer because it doesn't give us our information.
Circle F:
1. diameter = 20
2. diameter/2 = radius
3. 20/2 = radius
4. 20/2 = 10 units
Circle G:
1. diameter = 10
2. diameter/2 = radius
3. 10/2 = radius
4. 10/2 = 5 units
Circle H: Circle H cannot be our answer either! This is because, again, Circle H has a chord, not a diameter.
- The answer is Circle F because Circle F's radius is 10 units, while Circle G's radius is 5 units, and circles D and H did not give the required information.
Hope this helps!