circles notes of 10std
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CHAPTER 10
CIRCLES
1. Tangent to a Circle
2. Number of Tangents from a Point on a Circle
3. Miscellaneous Questions
Circle: A circle is a collection of points in a plane which are at a constant distance
from a fixed point.
Centre: The fixed point is called a centre.
Radius: The constant distance is called the radius.
Diameter: Twice of radius is called the diameter.
Chord: The line joining two points on the circumference of the circle is called a chord.
The longest chord is the diameter of the circle.
Sector of a circle: The region enclosed by two radii and the corresponding arc is
called a sector of the circle.
Segment of the circle: The region bounded by an arc and the corresponding chord is
called the segment of the circle.
1. Tangent to a Circle : It is a line that intersects the circle at only one point.
2. Point of contact: The common point between the circle and the tangent is called the point of contact.
3. Secant: A line which has only two points common to a circle is called the secant.
4. There is only one tangent at a point of the circle.
5. No tangent can be drawn from a point inside the circle.
6. The tangent at any point of a circle is perpendicular to the radius through the point of
contact.
7. The lengths of tangents drawn from an external point to a circle are equal.
CIRCLES
1. Tangent to a Circle
2. Number of Tangents from a Point on a Circle
3. Miscellaneous Questions
Circle: A circle is a collection of points in a plane which are at a constant distance
from a fixed point.
Centre: The fixed point is called a centre.
Radius: The constant distance is called the radius.
Diameter: Twice of radius is called the diameter.
Chord: The line joining two points on the circumference of the circle is called a chord.
The longest chord is the diameter of the circle.
Sector of a circle: The region enclosed by two radii and the corresponding arc is
called a sector of the circle.
Segment of the circle: The region bounded by an arc and the corresponding chord is
called the segment of the circle.
1. Tangent to a Circle : It is a line that intersects the circle at only one point.
2. Point of contact: The common point between the circle and the tangent is called the point of contact.
3. Secant: A line which has only two points common to a circle is called the secant.
4. There is only one tangent at a point of the circle.
5. No tangent can be drawn from a point inside the circle.
6. The tangent at any point of a circle is perpendicular to the radius through the point of
contact.
7. The lengths of tangents drawn from an external point to a circle are equal.
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