Question

how to understand circles chapter

Answer 1

Hey there!!
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>> First of all, Frankly, I have to say this lesson was killing lesson. But it's not impossible.

>> Understand what is :

• ARC - Minor and Major
• SEGMENT - Major and Minor
• SECTOR - Major and Minor.

>> Understand the theorems well. It's proofs are also important.

- There are 12 theoroms in total :
(rating each theoroms with stars on the basis of its chance to come in exams)

1. Equal chords of a circle subbed equal angles at the centre. (rated ☆☆☆☆)

2. Inverse of theorom 1

3. The perpendicular from the centre of a circle to a chord bisects the chord (rated ☆☆)

4. The line drawn through the centre of a circle to bisect a chord perpendicular to the chord . ( rated ☆☆☆)

5. There is one and only one circle passing through three given non-collinear points (rated ☆☆☆☆)

6. Equal chords of a circle are equidistant from the centre. (rated ☆☆☆☆)

7. Chords equidistant from the centre of a circle are equal. (rated ☆☆☆☆☆)

8. The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. (rate ☆☆☆☆☆)

9. Angles in the same segment of a circle are equal (rated ☆☆☆)

10. If a line segment joining two points subtend equal angles at two other points lying on the same side of the line segment, the 4 points lie on a circle. (rated ☆☆☆)

11. Sum of pair of opposite angles of a cyclic quadrilateral is 180○ (rated ☆☆☆)

12. Inverse of 11

>> CYCLIC QUADRILATERALS :
A quadrilateral is called Cyclic if all four vertices on it lie on a circle.

>> If you study all these concepts well, and do some extra questions., this may became easy.

Hope it helps. <3