![]() ![]() The rope that attaches a swing to a tree is 1.8 m long and the maximum difference between trajectories is an angle of 146°. Calculate the distance travelled by each when they have rotated 50 times around the center. Exercise 10Ĭalculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.Īnne is riding a horse which is tied to a pole with a 3.5 m piece of rope and her friend Laura is riding a donkey which is 2 m from the same center point. Exercise 9Ī chord of 48 cm is 7 cm from the center of a circle. Calculate the area of the circular segment between the chord joining the ends of the two radii and its corresponding arc. Exercise 8Ī central angle of 60° is plotted on a circle with a 4 cm radius. Calculate the total walking area available to pedestrians visiting the park. Exercise 7Ī circular fountain of 5 m radius lies alone in the centre of a circular park of 700 m radius. Calculate the area of the circular trapezoid formed by the radii and concentric circles. Two radii (plural for radius) OA and OB form an angle of 60° for two concentric circles with 8 and 5 cm radii. The entire area of the park has grass with the exception of the bases for the lamps. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with a radius of 1 m. Exercise 4Ĭalculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm. Exercise 3įind the area of a circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius. Calculate the maximum distance travelled by the seat of the swing when the swing angle is described as the maximum. ![]() Calculate the distance travelled by each when they have rotated 50 times around the centre. Sorry for being 'naïve' or just 'forgetting', but any assistance is greatly appreciated.Anne is riding a horse which is tied to a pole with a 3.5 m piece of rope and her friend Laura is riding a donkey which is 2 m from the same center point. I'm a little confused as to how to go about it, or what formulae to use. Yet, it seems there must be some other way I can determine the figures that I want, no ?īut. Since these drawings/sketches come off a piece of machinery, let's just say it is 'not reasonably possible' for me to figure out the actual origin of the circle. I know there are formula's out there such as this.īut that requires you to know 'h' or how far the center of the circle is. So say I have this series of arcs/chords, and I am trying to determine the radius of the circle they are composed of. But I am trying to work on a little side project at the time, and rather than 'theoretical' this actually applies to a 'real world' type example: In any case, unfortunately my 'geometry' is maybe a little too far back and too fuzzy. Notably, this is not the only subject that has 'come back to bite me', or in undergrad studying first in Philosophy, I took a course on logic, where we learned about 'truth tables'- And lo-and-behold, some 15 years later I find in FPGA's and system state logic, what do you have, but 'truth tables !'. I have to admit upfront that while I did fine at high school Geometry, it probably remains one of the subjects where I thought, 'okay, when am I ever going to use this ?' And sort of blanked it out of my mind for direct reference. ![]()
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