13 The circumference of the circle and the perimeter of the rectangle are equal.
1 answer:
Answer:
Step-by-step explanation:
Note:
Circumference of a circle =
Where d = diameter
We are given the diameter is 20cm, d = 20
Circumference of circle = = 20
Also, perimeter of a rectangle = 2 times length + 2 times width
We are told the length = 18 , width = x
Perimeter of rectangle = 2 times 18 + 2 times x
Perimeter of rectangle = 36 + 2x
The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:
So this means:
Since Circumference of circle = 20 ,
Perimeter of rectangle = 36 + 2x .
We can write:
Circumference of circle = perimeter of rectangle
20 = 36 + 2x
Subtract 36 from both sides
20 - 36 = 2x
Divide both sides by 2 to solve for "x".
x =
Plug it into your calculator and then just round it to 1 decimal place.
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Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
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