Question

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What is the value of x to the nearest tenth?

Answer 1

The value of x is 27 units from the given circle, if the radius of the circle is 18 units.

Explanation:

The given is,

Circle diagram, with radius of 18

Step:1

Given circle contain right angular triangle,

Ref attachment,

x = 18

y = 12

Where,

x = a + b...................(1)

a = b

a =
`(x)/(2)`

b =
`(x)/(2)`

From Pythagoras theorem,

`x^(2) =a^(2) +y^(2)`

Substitute the values,

`18^(2)=12^(2) + a^(2)`

`324=144+a^(2)`

`a^(2) = 180`

Take square root on both sides,

`a=√(180)`

a= 13.416

Step:2

From equation (1),

x = 13.416 +13.416

x = 26.833

x ≅ 27

Result:

The value of x is 27 units from the given circle, if the radius of the circle is 18 units.