Question

The distance of a chord of length 18 cm from the centre of a

circle of radius 15 cm is

a)√306 b)12 cm c) 17cm d) √99 ​

Answer 1

Answer:

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1

A chord is 18 cm long. The radius of the circle is 15 cm. What is the distance of the midpoint of the chord from the centre of the circle?

Shiva Senthil

Answered November 28, 2017

Here’s a picture (It’s not perfect I know shhhh)

The chord on the bottom is 18 cm. We have drawn two radii of 15 cm to connect from the center to the ends of the chords. We have also drawn the line whose length we are looking for (denoted by x ). This line, connecting to the midpoint of the loner side of the isosceles triangle (is there an actual name for this? It can’t be the hypotenuse because isosceles doesn’t imply right triangle…) bisects the side and conveniently gives us two right triangles. We love right triangles. We can Pythagoreafy the heck out of them.

a2+b2=c2

92+x2=152

By now you might be able to spot the 3–4–5 multiple Pythagorean triple. If not, just do the math.

81+x2=225

x2=144

x=12

Therefore, the length from the midpoint of the chord to the center is 12 cm.

Answer 2

Answer:

sorry I am try these questions answer