Question

can we draw a chord of length 11cm in circle of radius 5 cm justify your answer​

Answer 1

Answer:

−

r=5cmistheradiusofacircleandABisachordof

thesamecircle.(fig1)

Tofindout−

ifitispossiblethatAB=11cm.

Solution−

Heretheradiusr−5cm.

∴Thediameterofthecircle=D=2×r=2×5cm=10cm.

Weknowthatdiameteristhegreatestchord.

∴Dshouldbe>AB........(i)

ButAB=11cm.i.eAB>D.

i.eifthepointAisonthecirclethenthepointB

willbeintheexteriorofthecircle.(fig2)

Thiscontradictstherule(i).

So,inthiscase,thelengthofthechord=11cm,isimpossible.