# Tutor profile: Anna R.

## Questions

### Subject: Geometry

What is the area of a circle with a diameter of 12?

First we need to know the formula for the area of a circle. The area is pi*r^2. Pi never changes, so all we need to know is r, the radius. We don't know that yet, but we do know the diameter. The radius is half of the diameter, so in this case that would be 6. Our formula is now Pi*(6)^2 = Pi*36 = 113.04

### Subject: Pre-Algebra

What is the greatest common factor of 4, 6, and 12?

To find the greatest common factor we need find the largest factor all three numbers have in common. One way to do this is simply by listing the factors. 4 = 1 x 4 and 2 x 2 so the factors are 1, 2, and 4 6 = 1 x 6 and 2 x 3 so the factors are 1, 2, 3, and 6 12 = 1 x 12, 2 x 6, 3 x 4 so the factors are 1, 2, 3, 4, 6, and 12 The largest factor in all three sets is 2. So the GCF of 4, 6, and 12 = 2

### Subject: Algebra

A number is increased by 2 and then multiplied by 3. The result is 24. What is this number?

These questions always seem much trickier than they really are! What we need to do is find this mystery number. We will translate all the words into a math statement. Since we don't know our mystery number, let's call it x. "A number is increased by 2" --> x + 2 "and then multiplied by 3" --> x 3 "The result is 24" ---> =24 If we put our new sentence together we get: (x+2) x 3 = 24 Now we solve for this mystery number :) (x+2) x 3 = 24 Distribute the 3... 3x + 6 = 24 Subtract 6 from both sides... 3x = 18 Divide by 3... x = 6 All done!

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