Q1. If (5, 1), (x, 7) and (3, - 1) are 3 consecutive vertices of a rhombus, then x = Q2. The radii of two concentric circles are 17 cm and 10 cm. A line PQRS cuts the larger circle at P and S and the smaller circle at Q and R. If QR = 12 cm, calculate PQ. Q3. Q4. A cube, one inch on a side, is sliced into two congruent halves in such a way that the slice through the middle forms a regular hexagon. What's the area of the regular hexagon? Q5. Three planets are aligned as shown. The diameter of the smallest planet is 3000 miles and the diameter of the planet in the middle is 8000 miles. Given the other dimensions in the figure, what is the diameter of the largest planet? Q6. If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius? Q7. A square is divided into three congruent rectangles as shown below. Each of the three rectangles has a perimeter of 16 meters. How many meters are in the perimeter of the square? Q8. The perimeter of an isosceles right triangle is 2a. Then its area is Q9. AB is a diameter of a circle. C is a point in AB such that CA = 9 cm and CB = 25 cm. Find the length of the shortest chord through C. Q10. Q11. ABCD is a square with each side divided into three segments of length 1 unit, 8 units, and 1 unit respectively, as shown in the diagram below. What is the sum of the areas of the four shaded triangles? Q12. In the figure given below, O is the center of the circle. If COD = 80°, find the values of x, y and z. end |
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For 3600 the area is π r2
For 400 the area is (π r2)/9
For 3600 the perimeter is 2π r
For 400 the perimeter is (2π r) / 9, which is given as 4π
=>r = 18
Area of the sector = π r2//9 = (π 182)/9 = π 18 x 9 = 162 π
Do we need to consider the corner triangular shaped or we can ignore and consider the white strip as a rectangular area?
Ans:- PQ=QS=9cm
use theorem(a perpendicular drawn ffrom the centre of the circle onto the chord bisects the chord) and Pythagoras theorem.
i think we should consider stripe as rectabgular area of width square root 2 and length equal to the lenght of diagonal and then proceede...please tell if somebody got something diff
ans to q is 37.5.....its a right angled triangle now proceede with the formula R=abc/4A
YAAR the answer should b 36n of 3rd ques
is the answer of q 9 is 30 please correct me if m wrong
take length of each side x and breadth y now add all the sides of all rectangles it will give....4x+6y=48 now 6y =2x
so 6x=32 and x =8 now perimetre =32
Sol 6.
triangle is right.
inradius = A/s = 756/84 = 9
my dear Atul,
the formula of in-radius = A/s
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