Circle Geometry: Basic Concepts and Formula
Within the plane geometry, a circle holds significant properties such as the center, radius, diameter, and circumference. Each point on the circle is equidistant from the center, and the radius represents this distance. The diameter is a line passing through the center with endpoints on the circle, while the circumference measures the distance around the circle. Learn about the relationships between these elements, like how the radius is half the diameter, and equations to calculate them. Explore practical examples illustrating these concepts with clear solutions.
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Presentation Transcript
The Circle The Circle By Ranjana By Ranjana
O A CIRCLE CIRCLE Eg. ball,bangle,lemon.coin
CENTRE CENTRE O A B RADIUS CENTRE : O RADIUS : OA
. O In a plane,each point of the circle is at equal distance from a fixed point.The fixed point is called the centre of the circle. CENTRE = O CENTRE = O
Radius O A The distance from centre to any point on the circle is called radius of the circle. RADIUS = OA
A D I A M E T E R . O B A Line segment passing through the centre of the circle and whose end points lie on the circle is called the diameter of the circle. DIAMETER = AB
CIRCUMFERENCE . O The length of the circle or the distance around it is called circumference of the circle.
. O A B A Line segment whose both the ends touches the circumference and passes through the centre is called diameter. DIAMETER : AB
Relation between radius and diameter Relation between radius and diameter RADIUS = DIAMETER 2 . O A B OB = AB 2
Eg. If diameter of the circle is 10 cm then find its radius? Sol. Radius =diameter / 2 radius=10 cm/ 2 radius =5 cm . O A B Diameter = 10cm
Eg. If radius of the circle is 6 cm,then find the diameter of the circle? Sol. Diameter = 2 x Radius Diameter = 2 x 6cm Diameter = 12 cm .O Radius = 6cm A
RELATION BETWEEN CIRCUMFERENCE AND DIAMETER CIRCUMFERENCE = 3 x DIAMETER(APPROX) CIRCUMFERENCE . O B A DIAMETER
Eg. Find the circumference (approx) of the circle whose diameter is 10cm. Sol. Circumference = 3 x diameter(approx) CIRCUMFERENCE Circumference = 3 x 10 cm Circumference = 30 cm . O B A DIAMETER=10 CM
EVALUATION EVALUATION 1. what is the relation between radius and diameter of the circle? Sol .Radius=diameter/2 2. What is the relation between circumference and diameter of the circle? Sol. Circumference=3Xdiameter(approx) . 3. In this figure O radius A B OA or OB is ______. diameter AB is ________. centre O is _________.
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