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Q: How do you find the probability of a point landing inside a circle?
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What is the probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm?

Area circle = π × radius² Area smaller circle = π × (4 cm)² = 16π cm² Area larger circle = π × (10cm)² = 100π cm² → probability inside smaller circle = area_smaller_circle/area_larger_circle = 16π cm²/100π cm² = 16/100 = (4×4)/(4×25) = 4/25.


What of a circle connects its center to a point on the circle?

it becomes a circle inside another circle


What is the difference between inscribed and circumscribed?

== == Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.


What is an open circle in math?

It is the set of all point INSIDE the circle but not points on the circumference.


What A circle with a radius of 3 cm shares a center with another circle that has a radius of 5 cm. Find the probability that a randomly selected point is in the larger circle but not in the smaller ci?

We can look at total areas (and ignore units-they're all the same). The smaller circle has an area of 9pi, and the larger circle has an area of 25pi. The smaller circle is entirely inside of the larger circle. So anything not in the smaller circle is in the larger circle. 16pi square centimeters are part of only the larger circle. 16pi/25pi=.64. So the desired probability is .64.

Related questions

What is the probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm?

Area circle = π × radius² Area smaller circle = π × (4 cm)² = 16π cm² Area larger circle = π × (10cm)² = 100π cm² → probability inside smaller circle = area_smaller_circle/area_larger_circle = 16π cm²/100π cm² = 16/100 = (4×4)/(4×25) = 4/25.


How do you find out if each point is on inside or outside of the circle?

Find the distance of the point from the centre of the circle. If the distance is - less than that radius then the point is inside the circle, - equal to the radius then the point is on the circle, and - greater than that radius then the point is outside the circle.


A circle is inscribed in a square with a side length of 4 If a point in the square is chosen at random what is the probability that the point is in the square but not in the circle?

21.5%


How do you find the probability of a random point being chosen in a shaded region in a circle?

The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.


What of a circle connects its center to a point on the circle?

it becomes a circle inside another circle


What is the space inside a circle?

Circumference is the outside of the circle and the inside is the are of the circle. And inside of the circle, there is diameter and radius. Radius is from the center point to the edge of the circle and diameter is all the way across.


How many tangents can be drawn to a circle containing a point inside the circle?

None can. A tangent is a line that touches a circle at only one point. If it wentthrough a point inside the circle, then it would have to touch the circle at twopoints ... one on the way in and another one on the way out.


How many tangents can be drawen to a circle contaning a point inside the circle?

None. A tangent is a line that has exactly onepoint in common with the circle.If it contained a point inside the circle, then it would have to pass through twopoints on the circle.


The point inside a circle that is the same distance from all points on the circle?

The center.


What is the difference between inscribed and circumscribed?

== == Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.


How many tangents can be drawn to a circle containing a point inside a circle?

No tangent No tangent


What is an open circle in math?

It is the set of all point INSIDE the circle but not points on the circumference.