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Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.
Circle A is 4 cm in diameter; circle B is 5 cm in diameter, Circle C has its circumference equal to the sum of the circumferences of both A and B together, What will be the ratio of the area of circle C, with respect to the area of circle A and circle B respectively? 
A certain dentist specializes in implanting gold and silver teeth in his patients mouths .He charges $ 650 for a gold tooth an $ 325. for a silver tooth. If his told fees for implanting gold and silver teeth last week were $ 15, 925 in total and he implanted five more gold teeth that silver teeth, how many teeth in total did he implant over the week?
Match List-I with List-II and select the correct answer using the codes given below: List-I (Animal) List-II (Teeth)  (a) Cow  (i) sharp curved teeth  (b) Cat  (ii) short front teeth  (c) Snake  (iii) continuously growing front teeth   (d) Squirrel   (iv) sharp teeth
The interference between a given pinion tooth and a gear tooth can be avoided by using 1. smaller pressure angle 2. larger pressure angle 3. Less number of teeth on the gear for a pinion with predefined number of teeth 4. More number of teeth on the gear for a pinion with predefined number of teeth Which of the above statements are correct?
The area of circle X is 1036π cm2 more than the area of circle Y. If the sum of their diameters is 148 cm, then the circumference of circle X is how much more than the circumference of circle Y?
If the circumference of a circle is 4m, then the ratio of circumference of the circle to the diameter of the circle is -
Steps are given to draw involute of given circle. Arrange the steps f C is the centre of circle and P be the end of the thread (starting point). i. Draw a line PQ, tangent to the circle and equal to the circumference of the circle. ii. Draw the involute through the points P1, P2, P3 ……..etc. iii. Divide PQ and the circle into 12 equal parts. iv. Draw tangents at points 1, 2, 3 etc. and mark on them points P1, P2, P3 etc. such that 1P1 =P1l, 2P2 = P2l, 3P3= P3l etc.
The ratio of the pitch circle diameter in millimeters to the number of teeth, is called circular pitch.
Which of the following statements is/are true? A: In a circle, PQ is a chord and OP and OQ are the radii of the circle. If ∠POQ = 90°, then ratio of the area of triangle POQ and that of circle will be 7: 22. B: Area of a circle is one-fourth of the product of ‘π’ and square of diameter of circle. C: Diameter of a semi-circle is 38(8/9)% of its perimeter.