Question

the redius of thee circle is 3x+4. it's area is 54cm². find the value of x and hence the redius of the circle​

Answer 1

Radius of the circle is 4.15 cm.

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, it is given that,

Then area of the circle  = $\pi (3x+4)^{2}$

Again, $\pi (3x+4)^{2}$ = 54

Or, $22. (3x+4)^{2}=378$

Or, $22(9x^{2} +24x+16)=378$

Or, $198x^{2} +528x+352-378=0$

Or, $198x^{2} +528x-26=0$

Then, x =  0.05

Then, radius of the circle = 3(0.05) + 4 = 4.15 cm.

Hence, radius of the circle is 4.15 cm.

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