Question
The circumference of a circle is 110 cm and the length
of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rectangle, if the ratio of length and the breadth of the rectangle is 7:6, respectively.Solution
Let the radius of the circle = ‘r’ cm Circumference of the circle = 2πr 110 = 2 × (22/7) × r r = 17.5 Radius of the circle = 17.5 cm Length of the rectangle = 17.5 × 4 = 70 cm Breadth of the rectangle = (70/7) × 6 = 60 cm Area of the rectangle = 60 × 70 = 4200 cm2
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?
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Find the value of the given expression-
(4x+4 -5× 4x+2) / 15×4x – 22×4x
If 4x² + y² = 40 and x y = 6, then find the value
of 2x + y?
If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).
47.98 × 4.16 + √325 × 12.91 + ? = 79.93 × 5.91
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
- If p = 20 - q - r and pq + r(p + q) = 154, then find the value of (p² + q² + r²).
If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
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