Question

Calculate the length marked by x in each of the following diagrams, the unit of length being cm. (O isthe centre)​

Answer 1

Here's the complete solution for your question.

Hope this helps you.

Answer 2

Step-by-step explanation:

Given

We are given a circle of radius 10cm and a chord AB of length 16cm .

O is the centre of the given circle

To Find

We need to find the value of X

Procedure To Find

To find the length of X ,

==> Firstly, we need to assume the midpoint Of AB chord as C

==> Secondly we can assume a right angled triangle AOC, where OA is 10 cm , AC is 8cm and we need to find OC which is assumed to be X

Solution

In triangle AOC, Base is 8cm , height is X cm and hypotenuse is 10cm

From Pythagoras theorem, we have

==> (AO)^2 = (AC)^2 + (OC)^2

==> 10^2 = 8^2 + X^2

==> X^2 = 36

==> X = 6cm ( X cannot be -6 as length can never be negative)

The final answer is X = 6cm