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A large circle has a radius of 10cm. Find the radius of the largest circle which will fit in da middle.?

source : yahoo.com

A large circle has a radius of 10cm. Find the radius of the largest circle which will fit in da middle.?

The radius of the big circle is R = 10cm.

In your case the 4 inner cirles will have a radius we can call “r”. The centers of these circles form a square of “2r” per side. The diagonal of this square will measure “2r*sqrt(2)”. By extending this diagonal of “2r ” (r on each side) we get the diameter of the big circle (20cm = 2R).

So 2r*sqrt(2) + 2r = 2R => r = R / (1 + sqrt(2))

If we call “n” the radius of the smaller inner circle, the diagonal is also “2r + 2n”.

So 2r*sqrt(2) = 2r + 2n => n = r(sqrt(2) – 1)

=> n = R / (1 + sqrt(2))(sqrt(2) – 1)

=> n = R (sqrt(2) – 1) (sqrt(2) – 1) = 1.7 cm

PDF  Circle J has a radius of 10 units, has a radius of 8 units, and BC...

PDF Circle J has a radius of 10 units, has a radius of 8 units, and BC… – SOLUTION: A radius is a segment with endpoints at the center and on the circle. But has both the end points on the circle, so it is a chord. Find the diameter and radius of a circle by with the given circumference. Round to the nearest hundredth.Circumference of the Circle with radius #4#. #=2pir=2pitimes4# Central angle that intercepts arc of length #10.8# #=10.8/(2pitimes4)times2pi# #=10.8/4# #=2.7#. What are the units used for the ideal gas law?C) Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.

A circle has a radius of 4 units. What is the radian measure… | Socratic – Solve advanced problems in Physics, Mathematics and Engineering. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation History. Find the radius of the largest circle which will fit in the middle.Learn about and revise circles and their properties such as circumference and radius with this BBC Bitesize GCSE Maths OCR study guide. Circles are 2D shapes with one side and no corners. The circumference is always the same distance from the centre – the radius.I have one note about the title though, doesn't "unit" circle imply a radius of "one"? The next baby weighed 6 lbs, and the final baby weighed a whopping 10 lbs. This proved once and for all How do you even explain sine and cosine without the unit circle? I entered this post comment section thinking…

A circle has a radius of 4 units. What is the radian measure... | Socratic

Which circle has a radius that measures 10 units? – Brainly.com – Units of measurement provide standards so that the numbers from our measurements refer to the same thing. Measurement is a process that uses numbers to describe a physical quantity. We can measure how big things are, how warm they are, how heavy they are, and lots of other features as well.In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.The inradius is the radius of the largest circle that will fit inside the given polygon, in this case, a triangle. The center of this circle, where all the perpendicular bisectors of each side of the triangle meet, is the circumcenter of the triangle, and is the point from which the circumradius is measured.

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