Relation between Diameter Radius and Circumference
Relation between diameter radius and circumference are discussed here.
Relation between Diameter and Radius:
Relation between radius and diameter of a circle
In this figure, we have a circle with centre O. OA is the radius and PQ is the diameter.
Relation between radius OA and diameter PQ. You will find that. PQ = 2 OA
Therefore, Diameter = 2 × Radius In other words, we say diameter is twice the radius.


1. What is the relation between diameter and radius?
Solution:
Diameter of a circle is twice of its radius.
Formula:
Diameter = 2 radius
Radius = \(\frac{Diameter}{2}\)
For Example:
1. Find the diameter of a circle whose radius is 4.5 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 4.5 cm.
= 2 x 4.5 cm.
= 9 cm.
Therefore, diameter = 9 cm.
2. Find the radius of a circle whose diameter is 7 cm.
Solution:
We know, Radius = Diameter/2
Diameter = 7 cm.
= 7/2 cm.
= 3.5 cm.
Therefore, radius = 3.5 cm.
3. Find the diameter of a circle whose radius is 1.5 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 1.5 cm.
= 2 x 1.5 cm.
= 3 cm.
Therefore, diameter = 3 cm.
4. Find the radius of a circle whose diameter is 8 cm.
Solution:
We know, Radius = Diameter/2
Diameter = 8 cm.
= 8/2 cm.
= 4 cm.
Therefore, radius = 4 cm.
5. Find the diameter of a circle whose radius is 2 cm.
Solution:
We know, Diameter = 2 radius.
Radius = 2 cm.
= 2 x 2 cm.
= 4 cm.
Therefore, diameter = 4 cm.
6. If the radius of a circle is 3 cm, find its diameter.
Solution: Diameter = 2 × Radius
= 2 × 3 cm
= 6 cm.
Relation between Circumference and Diameter:
1. What is the relation between circumference and diameter?
Solution:
Circumference of a circle is slightly more than three times of its diameter.
Worksheet on Relation between Diameter Radius and Circumference:
1. Find the radius of the circle whose diameter is:
(i) 10 cm
(ii) 14 cm
(iii) 16 cm
(iv) 8 cm
Answer:
1. (i) 5 cm
(ii) 7 cm
(iii) 8 cm
(iv) 4 cm
2. Find the diameter of the circle whose radius is:
(i) 4 cm
(ii) 6 cm
(iii) 7 cm
(iv) 5 cm
Answer:
2. (i) 8 cm
(ii) 12 cm
(iii) 14 cm
(iv) 10 cm
3. Complete the following table:
Answer:
3.
4. Fill in the blanks:
(i) The length of the radius of a circle is _____ the length of its diameter.
(ii) Diameter is also a _____ of the circle.
(iii) The line segment that joins two points on a circle is called a _____ of the circle.
(iv) The distance around a circle is called its _____.
(v) A diameter of a circle passes through the _____ of the circle.
Answer:
4. (i) half
(ii) chord
(iii) chord
(iv) circumference
(v) center
You might like these
Types of quadrilaterals are discussed here: Parallelogram: A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. Its opposite angles are equal.
Interior and exterior of an angle is explained here. The shaded portion between the arms BA and BC of the angle ABC can be extended indefinitely.
In worksheet on circle we will solve different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as radius, chord and diameter:
In the worksheet on triangle we will solve different types of questions on triangle. 1. Take three non  collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L. (b) The angle opposite to side LN. (c) The vertex opposite to
We will discuss here about the properties of triangle. Property 1: Relation between the measures of three angles of triangle: Draw three triangles on your not book. Name them as ∆PQR, ∆ABC and ∆LMN.
Bisecting an angle means dividing it into two equal angles. The ray which bisects an angle is known as its bisector. ∠LMN is the given angles. Fold the paper so that LM falls along MN
In worksheet on angles you will solve different types of questions on angles. Classify the following angles into acute, obtuse, right and reflex angle: (i) 35° (ii) 185° (iii) 90°
In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two lines meet or intersect at a point to form a right angle, they are
In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other
Triangles are classified in two ways: (i) On the basis of sides and, (ii) On the basis of angles.In classification of triangle there are six elements in a triangle, that is, three sides and three angles. So, classification of triangle is done on the base of these elements.
In construction of angles by using compass we will learn how to construct different angles with the help of ruler and compass.
Construction of perpendicular lines by using a protractor is discussed here. To construct a perpendicular to a given line l at a given point A on it, we need to follow the given procedure
Pairs of angles are discussed here in this lesson. 1. Complementary Angles: Two angles whose sum is 90° are called complementary angles and one is called the complement of the other.
A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known
Here we will discuss about Medians and Altitudes of a Triangle. Median: The straight line joining a vertex of a triangle to the midpoint of the opposite side is called a median. A triangle has three medians. Here XL, YM and ZN are medians. A geometrical property of medians
● Circle
Relation between Diameter Radius and Circumference.
Worksheet on Circle.
Practice Test on Circle.
5th Grade Geometry Page
5th Grade Math Problems
From Relation between Diameter Radius and Circumference to HOME PAGE
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
Share this page:
What’s this?
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.