Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:
2 answers:
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Answer:
Step-by-step explanation:
The diagram for the question is attached below
perimeter of the triangle is 28 feet
area of a square is 144 feet
Area of the square is side^2
take square root on both sides
side = 12
side of the square = 12
side is the diameter of the semicircle
Diameter = 12 , so radius = 12 divide 2 = 6
circumference of semicircle =
one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference
perimeter of other two side = 2(12)= 24
Total perimeter =
<u>Given</u>:
Given that AB is a tangent to circle C.
The length of AB is (2r -1)
The length of AC is (r + 1) + r
The length of BC is r.
We need to determine the circumference of the circle C.
<u>Value of r:</u>
The value of r can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
Simplifying, we have;
Expanding the terms, we get;
Simplifying the values, we have;
Adding both sides of the equation by 4r, we get;
Thus,
Since, the radius of the circle cannot be 0.
Hence, the radius of the circle is 8.
<u>Circumference of the circle:</u>
The circumference of the circle can be determined using the formula,
Substituting r = 8, we get;
Thus, the circumference of the circle is 16π
Hence, Option A is the correct answer.