Construct Square with Curves

Transcript

Construct Square with CurvesConstruct an 8 × 8 square where the straight sides are replaced by four uniform arcs bulging inward. Hint: Think where the tip of the compass can be placed to get all the 4 arcs to bulge uniformly from each of the sides. Try it out! Let’s try to solve this Steps of Construction 1. Construct an 8 × 8 square 2. Mark mid-point of each side as M1, M2, M3, M4 Now the arcs are constructed from outside the square because they are bulging inwards. We extend our points M1, M2, M3, M4 4 cm outside such that M1P, M2Q, M3R, M4S are 4 cm each 5. We join AP. Now, AP is our radius 6. Opening compass the length of AP. Keeping pointy end at P, pencil at A – we draw an arc 7. Now, we repeat the same for points Q, R, S. 8. Keeping pointy end at Q, radius same as AP, pencil at point B – we draw an arc. Similarly, for points R & S Thus, our required figure is this