Question

Given that OP=4cm, AB=6cm, CD=8cm Find OQ.
please help me.

Answer 1

Answer:

OQ=3cm

Step-by-step explanation:

Please see the attachment..

Hope it helps :)

Answer 2

Given:

OP=4cm, AB=6cm, CD=8cm

To Find:

Find OQ

Solution:

In the triangle OPB which is a right-angled triangle we know the value of OP=6 and PB = because OP is perpendicular to the chord so it will divide the chord into two equal parts, now using the Pythagoras theorem we have,

$r^2=6^2+3^2\\r=\sqrt{45}$

so we have the value of the radius of the circle, now in the triangle OQD we can again apply the Pythagoras theorem to find the value OQ, which goes as

$r^2=OQ^2+4^2\\45=OQ^2+16\\OQ=\sqrt{29}\\=5.38cm$

Hence, the value of OQ is root29 or 5.38cm.