CIRCLES CHAPTER 17_EX 17A SOLUTIONS

hw: EX 17A - 1,2,3,4,5,78,9,10,13,14,15,1617,25 : 11 april'2022

THESE ARE THE THEOREMS THAT WE DISCUSS HERE:

THEOREM_1.The angle that an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circle.

THEOREM_2 Angles in the same segment of a circle are equal (without proof).

THEOREM_3.Angle in a semi-circle is a right

THEOREM_4.Opposite angles of a cyclic quadrilateral are supplementary.

THEOREM_5.The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle (without proof)

TIMESTAMP 00:00 INTRO 17:24 THEOREM1 22:04 THEOREM2 33:24 THEOREM3 42:06 THEOREM4 48:51 THEOREM5

PDF LINK: https://isequaltoklassesnavneet.blogspot.com/2022/04/circles-chapter-17ex-17a-solutions.html 1.

Concentric circles : Two or more circles are said to be concentric if they have same centre and different radii. In the adjoining figure, 0 is the centre of each circle drawn; so the circles are called concentric circles. 2. Equal circles : Circles are said to be equal or congruent if they have equal radii. 3. Circumscribed circle : A circle that passes through all the vertices of a polygon is called the circumscribed circle. The centre of circumscribed circle is called circumcentre and the polygon is called incribed polygon. See below : 4. Inscribed circle : A circle that touches all the sides of a polygon is called the inscribed circle j(or, in-circle) of the polygon. The centre of inscribed circle is called incentre and the polygon is called circumscribed polygon. 5. Chord : The line segment, joining any two points on the circumference of the circle, is called a chord. A chord, which passes through the centre of the circle is called diameter, and is the largest chord of the circle. Arc and its types : An arc is a part of the circumference of a circle. A chord divides the circumference of a circle into two parts and each part is called an arc. In the figure, given alongside, chord AB divides the circumference into two unequal arcs APB and AQB. The arc APB, which is less than the semi-circle, is called minor arc and the arc AQB, which is greater than the semi-circle, is called major arc. Segment and relation between arcs and segments : A segment is the part of a circle bounded by an arc and a chord.

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circles selina concise mathematics solutions class 10 icse chapter 18 tangents and intersecting chords