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Following are the properties of the tangent to the circle: 1) Radius of the circle is perpendicular to point of contact between the tangent and the circle. 2) Tangents drawn from an external point of the circle are of equal length. 3) Tangents drawn from an external point are equally inclined to the line segment joining the external point and ...
- Circles
Area of a circle = Area of triangle = (1/2) × b × h = (1/2)...
- Circles
There are many formulas related to a circle. A few basic circle formulas related to circles are given below: Diameter of a Circle ⇒ D = 2 × r, where 'r' is the radius. Circumference of a circle ⇒ C = 2 × π × r, where 'r' is the radius. Area of a circle ⇒ A = π × r 2, where 'r' is the radius.
- What Is A Circle?
- Center of A Circle
- Interior and Exterior of A Circle
- Semicircle
- Quarter Circle
- Parts of A Circle
- Circle Formulas
- Solved Examples on Circle
A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed shape, two-dimensional shape,curved shape. A few things around us that are circular in shape are a car tire, a wall clock that tells time, and a lollipop.
The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle. Here, point P is the center of the circle.
Consider the circle with center P and radius r. A circle has an interior and an exterior region. All those points for which the distance is less than the radius of a circle lie in the interior of the circle. For example points P, Q, and R lie in the interior of the circle. All those points for which the distance is greater than the radius of a circ...
Semi means half, so semicircle is half a circle. It is formed by cutting a whole circle along a line segment passing through the center of the circle. This line segmentis called the diameter of the circle.
Quarter means one-fourth. So, a quarter circle is a quarter of a circle, formed by splitting a circle into 4 equal parts or a semicircle into 2 equal parts. A quarter circle is also called a quadrant.
The Radius of a Circle: A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle. Radius = Diameter2 Diameter of a Circle: A line segment passing through the center of a circle, and having its endpoints on the circle, is called the diameter of the circle. Diameter = 2 × radius Circumference: The ...
Area of a circle: The area of a circle is the region enclosed inside the circle. The area of a circle depends on the length of its radius. Area = πr2 Circumference: The distance around the circle is the circumference of the circle. Circumference = 2πr The value of π = 3.14 or 227
Example 1: Match each term with the correct definition. Solution: 1 – b 2 – d 3 – a 4 – c Example 2: Use the figure to answer the questions. 1. Which term best describes OE? 2. Name 3 line segments that have the same length. 3. Name the secant. 4. Which two terms can be used to describe AB? Solution: 1. Radius 2. OA, OB, and OE 3. PQ 4. Diameter an...
Aug 3, 2023 · Parts and Properties. Parts of a Circle. 1) Radius – The line that joins the center of the circle to the outer boundary. It is usually represented by ‘ r ’ or ‘ R ’. The plural of radius is called radii. 2) Diameter – The line segment whose endpoints lie on the circle and that passes through the center. Its length is twice the ...
Book 3 of Euclid's Elements deals with the properties of circles. Euclid's definition of a circle is: A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.
Area of a circle = Area of triangle = (1/2) × b × h = (1/2) × 2π r × r. Therefore, Area of a circle = πr 2. Properties of Circles. The important basic properties of circles are as follows: The outer line of a circle is at equidistant from the centre. The diameter of the circle divides it into two equal parts.
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May 27, 2024 · Circles in Maths: A circle is a two-dimensional shape where all points on the circumference are the same distance from the centre. In other words, it is a collection of all points in a plane that are the same distance away from a fixed point, called the centre. Its area is equal to pi times the square of its radius.
