The picture below is the pattern circle with the length of radius of the biggest circle is 14 cm. Find the area of the shaded part.
(use pi = 22/7)
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lets name the four circles A, B, C, D from the upper circle in a clockwise direction. Now look at the two circles, A and B. Make a line from the centre of circle A until it touches the circumference of the circle A. Make another line parallel to the first one, from the centre of the circle B to the center of the big circle. Then join the two points, from the centre of circle A to the centre of the big circle and another one from the centre of the circle B to the point on the circumference circle A. This way we can see that it indeed resembles a quadrilateral, specifically a square, which then means that the angles are in 90 degree each. From here we can then perform this set of calculation:
the area of the overlapping circle:
22/7 * 1/4 * 7 * 7 = 38.5
7*7/2=24.5
giving the ans of 14
times by 8, giving the ans of 112
the area of the area that are not enclosed by the smaller circles
1/4 * 22/7 * 14 * 14 = 154
subtracting it with the overlapping circles: (22/7 * 7* 7) - (2*14) = 126
giving the ans of = 28
times it by 4: 112
Finally, we can then conclude that the ans is
112+112 = 224
View Comments (2)
lets name the four circles A, B, C, D from the upper circle in a clockwise direction. Now look at the two circles, A and B. Make a line from the centre of circle A until it touches the circumference of the circle A. Make another line parallel to the first one, from the centre of the circle B to the center of the big circle. Then join the two points, from the centre of circle A to the centre of the big circle and another one from the centre of the circle B to the point on the circumference circle A. This way we can see that it indeed resembles a quadrilateral, specifically a square, which then means that the angles are in 90 degree each. From here we can then perform this set of calculation:
the area of the overlapping circle:
22/7 * 1/4 * 7 * 7 = 38.5
7*7/2=24.5
giving the ans of 14
times by 8, giving the ans of 112
the area of the area that are not enclosed by the smaller circles
1/4 * 22/7 * 14 * 14 = 154
subtracting it with the overlapping circles: (22/7 * 7* 7) - (2*14) = 126
giving the ans of = 28
times it by 4: 112
Finally, we can then conclude that the ans is
112+112 = 224
uuggghh bener ga ini????? :/
Correct answer :)