Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 9 Answered

Two parallel chords AB and CD are 3.9 cm apart and lie on the opposite sides of the centre of a circle. If AB=1.4cm and  CD=4cm, find the radius of the circle
Asked by ssachinsingh99 | 05 Feb, 2019, 06:44: PM
answered-by-expert Expert Answer
Figure shows two chords AB and CD which are 3.9 cm apart in a circle.
 
Let CD is at a distance x cm from centre of circle and AB is at a distance (3.9-x) cm from centre.
Let R be the radius of circle
 
From right ΔAGO, we have  R2 = (3.9 - x)2 + (0.7)2   .....................(1)
 
From right ΔCFO, we have R2 = x2 + 22  ................................(2)
 
by equating (1) and (2),  (3.9 - x)2 + (0.7)2  = x2 + 22  ..........................(3)
 
solving (3) for x, we get x = 1.5 cm
 
By substituting x in eqn.(2), we get R = 2.5 cm
Answered by Thiyagarajan K | 05 Feb, 2019, 09:48: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 9 - Maths
(a+b-c)(a-b+c) simplify by using formulas 
Asked by hemalathamamidi6 | 26 Apr, 2024, 03:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
in the adjoining figure x and y are midpoints of side ab and ac respectively of triangle ABC if BC is equals to 7 cm ab is equals to 8.4 cm and ac is equals to 7.4 CM then find the perimeter of trapezium xbc y
question image
Asked by jatinderkaur19852008 | 25 Apr, 2024, 06:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
(2X+3y+5)(2x+3y-5)
question image
Asked by shantanupandey271208 | 21 Apr, 2024, 03:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Find the time in years in which ₹12500 will produce ₹ 3246.40 as compound interest at 8% per annum, interest compounded annually
Asked by harshansingh92 | 09 Apr, 2024, 06:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
3 rational numbers
Asked by gtdgyyydsyj | 09 Apr, 2024, 03:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
subtract 5√3+7√5 from 3√5-7√3
Asked by patnamprakash545 | 07 Apr, 2024, 05:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
if X+1÷x =6 find x-1/x ,x²-1/x²
Asked by ysubha24 | 06 Apr, 2024, 06:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
The point A(3,2)
question image
Asked by vipin13022011 | 03 Apr, 2024, 08:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
solve: 3^x-1x 5^2y-3=225
question image
Asked by jahnvi | 31 Mar, 2024, 01:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
a
question image
Asked by ay7599219263 | 28 Mar, 2024, 09:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×