Now we just need to find the length of the rectangle. That’s one piece of the puzzle completed. Here the width, or the diameter, is \(73\) meters, so our radius is \(36.5\) meters. That means that we can find the radius by simply dividing our diameter by \(2\). Just like with our “tombstone”-shaped problem, problems of this type only give two dimensions of our shape – the total width and the total length.īut that’s all the information that we need! As we saw in the last problem, our width is also the diameter of our circle: For a real world problem, let’s calculate the area of an outdoor track and field stadium. It’s not hard to see where it gets its name! It’s shaped like a track and field stadium. Notice that we used the “approximately equal to” symbol \(( \approx)\) since our semicircle area is now an approximation.įor our next problem, let’s try to find the area for another related shape, the stadium: Calculate approximately how many centimeters a circle is long.\(\text The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. What is its length? Calculate the area of the circle described by this circle. The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is the ratio of the area of the circle to that of the rectangle? 60% of the square is shaded, and 1/3 of the rectangle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. The point B and C lie on the circumference of the circle. The vertex A is also a distance of 7 cm from C. The rectangle OABC has one vertex at O, the center of a circle, and a second vertex A is 2 cm from the edge of the circle, as shown. Calculate the side lengths of a given rectangle. A circle k with a diameter of 10 cm describes a rectangle. The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dmįind out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).Ĭalculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. The rectangle with sides of 6 cm and 4 cm was circumscribed circle. Each pagan occupied 28.26 cm² of the bottom of the sh When two adjacent circles meet, calculate the material waste percentage if no material is lost.Įlena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Can it be a rectangle inscribed by a circle? Calculate the rectangle's perimeter.Ĭalculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. The circle's radius circumscribed to the rectangle is 10 cm. The length of the sides of the rectangle is at a ratio of 1:3. How many rectangles, 125圆0 or 100x50 cm, do I need to fill it?
How many% of the area of the rectangle is the area of the circle?Ĭircle with a diameter of 4900 cm. We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. Calculate the field area if the wheel turns 200x. The diameter of the seed drill wheel is 90 cm, and the working width is 240 cm.
She put a place mat that measures 5 dm long and 3dm wide she placed a plate on it with a diameter of 3dm. What percentage of the sheet was a waste? In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. The distance between the wheel centers is 1.8 m. What is the probability that the flying seagullĪ chain was stretched between two identical gears with a diameter of 40 cm. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m.
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass.
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