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or, 4 a^2  3600 6400 ; [by squaring] or, 4 a^2 10000 or, a^2 2500 ?a 50 ? The length of equal sides of the triangle is 50 cm. E ...

0DWK,;;)RUPD or, 625  50 xx^2 h^2 400 or, 625  50 x 225 400 ; [with the help of equation (i)] or, 50 x 450 ;?x 9 Put ...

Two roads run from a definite place with an angle of 135 o in two dinrections. Two persons move from the definite place in two ...

(b) The length of a diagonal and the length of a perpendicular drawn from the opposite angular point on that diagonal are given. ...

Solution : Let breath of the rectangular room is x metre ? Length of the room is 2 3 x metre ? Area x x u 2 3 or, 2 3 x^2 square ...

There is a road around the field with width 4 m. ? Length of the square field excluding the road = (x 2 u 4 ), or (x 8 ) m ? A ...

Now, in right angled triangle 'BCE, BE^2 BC^2 CE^2 AD^2 DF^2 82 ( 6 ˜ 61 )^2 20 ˜ 31 ? BE 4 ˜ 5 Therefore, AE ABBE 12  4 ˜ ...

or, 1600  80 xx^2 h^2 1369 or, 1600  80 x 169 1396 [with the help of (1)] or, 1600  169  1396 80 x; or, 80 x 400 ;? x 5 N ...

? Area of 'OAB = ah 2 1 = 2 2 tanθ 1 a au = ̧ ̧ ¹ · ̈ ̈ © §  n a $ 180 $ tan 90 4 2 = ̧ ̧ ¹ · ̈ ̈ © § n a 180 $ 4 cot 2 ? Area ...

0DWK,;;)RUPD = 6 u 4 3 sq, m. = 24 3 sq. m. Exercise 16⋅ 2 The length of a rectangular region is twice its width. If its ...

The distance from the centre to the vertex of a regular octagon is 1.5 m. Find the area of the regular octagon. The length of a ...

(2) Length of arc of a circle Let O be the centre of a circle whose radius is r and are AB s, which produces θo angle at the cen ...

=^2 4 1 90 πr θ u u =^2 360 πr θ u So, area of circular segment =^2 360 πr θ u Example 2. The radius of a circle is 8 cm. and a ...

= 3 ˜ 1416 u 780 sq. m. = 2450 ˜ 45 sq. m. (approx) The required area of the path is 2450 ˜ 44 square m. (approx.) Activity : Ci ...

?Rr ( 105 ˜ 04  70 ˜ 03 ) cm.. = 35 ˜ 01 cm. = ˜ 35 m. (approx) ? The difference of radii of the two wheels is ˜ 35 m (approx) ...

? Area of the circular segment DAE =^231416 ( 12 )^2 360 30 360 uπr u ˜ u θ sq. m. = 37.7 sq.cm (approx) The length of the recta ...

6 ⋅5 Rectangular solid The region surrounded by three pairs of parallel rectangular planes is known as rectangular solid. Let, A ...

0DWK,;;)RUPD =( 25 )^2 ( 20 )^2 ( 15 )^2 cm. = 625  400  225 cm. = 1250 cm. = 35 ˜ 353 cm. (approx.) The required are ...

(2) Area of the curved surface = perimeter of the base u height = 2 πrh (3) Area of the whole surface =(πr^2  2 πrhπr^2 ) = 2 ...

But the thickness of a box cannot be greater than or equal to the length or width or height ?x 1 The required thickness of the b ...