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CBSE Class 9 Answered

Find the lenght of the chord of a Circle which is at a distance of 4 cm from the centre of the circle with radius 5 cm?
Asked by Pruthvin N Batham | 10 Feb, 2015, 07:41: AM
answered-by-expert Expert Answer
G i v e n space t h a t space t h e space r a d i u s space o f space t h e space c i r c l e space equals 5 space c m space L e n g t h space o f space t h e space p e r p e n d i c u l a r space f r o m space t h e space c e n t r e space t o space t h e space c h o r d space equals space 4 space c m space W e space n e e d space t o space f i n d space t h e space l e n g t h space o f space t h e space c h o r d. space W e space k n o w space t h a t space t h e space p e r p e n d i c u l a r space f r o m space t h e space c e n t r e space t o space t h e space c h o r d comma space b i s e c t s space t h e space c h o r d. space L e t space u s space o b s e r v e space t h e space f o l l o w i n g space d i a g r a m.
F r o m space t h e space r i g h t space t r i a n g l e space O M B comma space b y space a p p l y i n g space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma O M squared plus M B squared equals O B squared rightwards double arrow 4 squared plus M B squared equals 5 squared rightwards double arrow 16 plus M B squared equals 25 rightwards double arrow M B squared equals 25 minus 16 rightwards double arrow M B squared equals 9 rightwards double arrow M B equals 3 F r o m space t h e space f i g u r e comma space A B equals 2 cross times M B equals 2 cross times 3 equals 6 space c m T h u s comma space t h e space l e n g t h space o f space t h e space c h o r d space A B space i s space 6 space c m
Answered by Vimala Ramamurthy | 10 Feb, 2015, 10:28: AM

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CBSE 9 - Maths
prove that of all chords of circle through a given point within it, the chord which is bisected at that point is the smallest
Asked by subbusuchi1978 | 05 Nov, 2023, 10:24: AM
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CBSE 9 - Maths
if two circles intersect at two points prove that their centres lie in the perpendicular bisector of the common chord
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CBSE 9 - Maths
three girls Reshma Salma And Mandeep are playing a game by standing on a circle of radius 5 drawn in a park Reshma throws a ball to Salma Salma To mandip mandip to Reshma if the distance between Reshma and Salman and between Salman Mandeep 6 each what is the distance between Reshma Mandip
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CBSE 9 - Maths
two circles of radii 5cm and 3cm intersect at two points and distance between the centres is 4cm. find the length of the common chord  
Asked by tejvinder3r | 27 Jan, 2020, 10:27: AM
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CBSE 9 - Maths
AC is the diameter of the circle whose centre is O .AB and CD are parallel chords of a circle .prove that OA = OB 
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CBSE 9 - Maths
Q. Out of two concentric circles,the radius of the outer circle is 5 cm and the chord AC of length 8 cm is tangent to the inner circle.Find the radius of the inner circle.
Asked by sambitgenius2005 | 24 Apr, 2019, 08:03: PM
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CBSE 9 - Maths
Prove that the line joining the mid points of two parallel chords of a circle, passes through the centre of the circle.
Asked by Topperlearning User | 18 Aug, 2017, 09:07: AM
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CBSE 9 - Maths
Prove that the perpendicular from the centre of the circle to a chord bisects the chord.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 9 - Maths
AB and CD are two parallel chords of a circle such that AB = 12 cm and CD = 24 cm. The chords are on the opposite sides of the centre and the distance between them is 17 cm. Find the distance between them.
Asked by Topperlearning User | 14 Feb, 2014, 02:05: PM
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CBSE 9 - Maths
begin mathsize 12px style Two space chords space AB space and space AC space of space straight a space circle space are space equal. space Prove space that space the space centre space of space the space circle space lies space on space the space angl e space bisector space of space angle BAC. end style
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