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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.
