Math Problem Statement

the diameter of a cricle is 80 cm, its radius is 40cm

Solution

Yes, the diameter of a circle is twice the radius. Since the diameter is given as 80 cm, the radius will be:

Radius=Diameter2=802=40cm\text{Radius} = \frac{\text{Diameter}}{2} = \frac{80}{2} = 40 \, \text{cm}

This confirms the radius is indeed 40 cm.

Would you like to go into more details or have any questions?

Here are some related questions for further exploration:

  1. What is the circumference of the circle with a diameter of 80 cm?
  2. How do you calculate the area of a circle with this radius?
  3. What would the radius be if the diameter was doubled?
  4. If the radius was decreased by 10 cm, what would the new diameter be?
  5. How does the area of a circle change if the radius is doubled?

Tip: The formula for the circumference of a circle is C=π×DiameterC = \pi \times \text{Diameter}.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Diameter = 2 × Radius
Circumference = π × Diameter
Area = π × Radius^2

Theorems

The relationship between the diameter and radius of a circle

Suitable Grade Level

Grades 6-8