Math Problem Statement

The diameter of a circle is [2] units.

What is the radius of the circle?

Solution

The radius of a circle is half of its diameter. Given that the diameter is 2 units, the radius rr can be calculated as:

r=d2=22=1 unitr = \frac{d}{2} = \frac{2}{2} = 1 \text{ unit}

So, the radius of the circle is 1 unit.

Would you like further details or have any questions about this?

Here are 5 related questions:

  1. What is the area of a circle with a radius of 1 unit?
  2. What is the circumference of a circle with a radius of 1 unit?
  3. How does the radius change if the diameter is doubled?
  4. If the radius is increased by 1 unit, what would the new diameter be?
  5. What is the formula for the area of a circle in terms of the diameter?

Tip: The formula for the circumference of a circle is C=2πrC = 2\pi r.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Radius
Diameter

Formulas

r = d / 2

Theorems

The radius of a circle is half of its diameter.

Suitable Grade Level

Grades 6-7