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Chapter 9: Q18. (page 331)

Drawtwo congruent circles with radii 6 each passing through the centre of other and to find length of their common chord.

Short Answer

Expert verified

63

Step by step solution

01

Step 1. Given information.  

Radii of both the circles are 6 and they pass through the centre of each other.

02

Step 2. Concept used.

Perpendicular from centre of circle to the chord bisects he chord.

03

Step 3. Solution. 

Two circles can be drawn as:

To find the length of the common chord AB鈥�鈥�in鈥�鈥�螖ADC:

AD=AC2+CD2AD=AC2+DE226=AC2+62262=AC2+62236=AC2+9AC2=27AC=27AC=33

Perpendicular to any chord bisects the chord therefore,

AB=2ACAB=2脳33AB=63

Therefore, the answer is 63.

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Most popular questions from this chapter

Given: Two tangents circles; EF炉 is a common external tangent;

GH炉 is the common internal tangent.

a. Discover and prove something interesting about point G.

b. Discover and prove something interesting about 鈭�EHF.

Consider RS鈫� and RS鈫�.Which is a chord and which is a secant?

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b. m鈭�AOB=180掳

The radii of two concentric circles are 15cm and 7cm. A diameter AB炉of the larger circle intersects the smaller circle at Cand D. Find two possible values for AC.

Find the measure of central 鈭�1.
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