Mill draws a circle of radius 6cm .If she increases the radius by 10cm . what whould be the approximate length of the circumference of the circle. please give me the right answer i need it now ..plz
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9th
Maths
Circles
Equal Chords
In a circle of radius 10 cm...
MATHS
In a circle of radius 10 cm, a chord is drawn 6 cm from the centre. If a chord half the length of the original chord were drawn, its distance in centimeters from the centre would be
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ANSWER
Let the circle be with center O and radius 10 cm. Let there be a chord AB
Draw a perpendicular from O on AB to meet at P. The perpendicular from the center divides the chord in two halves. Given, OP=6cm
Thus, In △OAP, Using Pythagoras theorem
OA
2
=AP
2
+OP
2
10
2
=AP
2
+6
2
AP
2
=64
AP=8 cm
Thus, AB=2AP=16 cm
Now, new chord CD is drawn with length 8 cm. Draw a perpendicular on CD from O to cut CD at N.
Now, In △ONC
OC
2
=NC
2
+ON
2
10
2
=4
2
+ON
2
ON=
84
cm
Answer:
if the r=6cm then
c=22/7×2×6
=12π
Olly, if r=10cm then
c22/7×2×10
=20π