AX and EX are secant segments that intersect at point X. Circle C is shown. Secants A X and E X intersect at point X outside of
the circle. Secant A X intersects the circle at point B and secant E X intersects the circle at point E. The length of A B is 7, the length of B X is 2, and the length of X D is 3. What is the length of DE? 1 unit 3 units 4One-half units 4Two-thirds units
2 answers:
Answer:
DE = 3 units
Step-by-step explanation:
The image is attached.
There are 2 secant lines in the circle. We can use secant theorem to solve this easily.
It states that "if 2 secants are drawn to a circle from an outside point, then product of 1 secant and its "outside" part is equal to product of other secant and its "outside" part.
From the figure, we can say:
AX * BX = EX * DX
We let the length to find , DE, be "x".
Thus, we can write:
Now, we solve this for x:
Thus,
<u>DE = 3 units</u>
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Answer:
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Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
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Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .
To calculate the central angle, use the arc length formula as follows.
Where is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is , since angle is in radian
Now convert radian into degree by using following formula,
So multiplying with
to convert it into degree.
Simplifying,
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