Question

line containing the radio through the port of
on to the candle at the point
EXERCISE 4.1
How many tangents can a circle have?
Fill in the blank
ti) Atangent to a circle istersects it in
points)
( Alme intersecting a circle in two points is called
Acide can have
parallel tangents at the most
The common point of a tangent to a circle and the circle is called
A tangent PQ at a point of a circle of radius 5 cm meets a line through the ce
a point so that OQ-12 cm. Length PO is:
A) 12 an (B) 13 cm (C) 8.5 cm (D) Vi19 cm
Drawa cicle and two lines parallel to a given line such that one is a tangen​

Answer 1

Answer:

Step-by-step explanation:Advanced information about circles

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency.

tangent radius secant

A secant is a line that intersects a circle in exactly two points.

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Circle Two Secants

\m∠A=12(mDE¯¯¯¯¯¯¯¯−mBC¯¯¯¯¯¯¯¯)

When two chords intersect inside a circle, then the measures of the segments of each chord multiplied with each other is equal to the product from the other chord:

Circle Two Chords

AB⋅EB=CE⋅ED

If two secants are drawn to a circle from one exterior point, then the product of the external segment and the total length of each secant are equal:

Circle Two Secants

AB⋅AD=AC⋅AE

If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant:

Circle Secant Tangent

AB2=AC⋅AD

If we have a circle drawn in a coordinate plane, with the center in (a,b) and the radius r then we could always describe the circle with the following equation:

(x−a)2+(y−b)2=r2

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