What is the radius of a circle whose circumference is 1611?
1 answer:
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Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope =
=
=
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through and
will be
=
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through and (7.2, 5.4)
=
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.
Answer:
0
Step-by-step explanation:
Thinking process:
= by Stoke's Theorem
= since z =
Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a , creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to