Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of $23.65, what was
1 answer:
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<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>
Step-by-step explanation:
The total length of the wire = 40 cm
Let us assume the circumference of the circle = k cm
So, the circumference of the square = ( 40 - k) cm
Now,as circumference of circle = 2πR
⇒2πR = k cm or, R =
Area of the circle = πR²
or, A =
....... (1)
Similarly , perimeter of square = 4 x Side
⇒ 4 x Side = ( 40 - k) cm ⇒ S =
Area of the square = (Side)² =
Solving, we get: ....... (1)
So, combining (1) and (2), total area A is
or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k
A = 0.1422 k² - 5 k + 100
For axis of symmetry :
⇒ k = 17.6 inches
So, the perimeter of circle = 17.6 cm
Perimeter of square = (40 - 17.6 ) = 22.4 cm