The area of a circle is 28pi cm^2. find the area of a circle with a radius half the length of the original circle.

The area of circle with radius half of original circle is 7 π  cm² .

Step-by-step explanation:

Given as :

The Area of original circle = 28 π square centimeter

Let The radius of original circle  = R

Let The area of circle with radius half of original circle = A square centimeters

Let The radius of circle with radius half of original circle = R'

Now, According to question

∵ Area of original circle =  π × radius²

So, 28 π cm² = π × R²

Or, R² =

Or, R² = 28 cm²

∴  R = cm

i.e R = 2 cm

So, The radius of original circle = R =  2 cm

Again

∵ The radius of circle with radius half of original circle = R'

So, R' =

i.e  R' =

∴  R' =   cm

So, The area of circle with radius half of original circle =  π × R'²

i.e A = π × R'²

Or, A = π ×() ²

or, A =  π × 7

So, The area of circle with radius half of original circle = 7 π  cm²

Hence The area of circle with radius half of original circle is 7 π  cm² . Answer

the answer is 489

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.