Please answer me this question
Answers
Answer:
In a square, length of diagonal = side of square
So, side of square = 42 cm
Area of square = side x side
= 42 x 42
= 1764 cm²
circumference of circle = 2πr
2x 22/7 x r = 44
44/7 x r = 44
r = 44 x 7/44
r = 7
diameter = 2 x radius
d = 2 x 7
d = 14
Answer:
21. solution :
length of the diagonal of square = 42cm
as it is a square, it's sides are equal and every angle measures 90°
in triangle ABC,
angle ABC = 90° and AB = BC
hence it is a right angle ∆ [ see figure ]
let the square side as triangle's side = S
AC² = AB²+ BC² ( Pythagoras theorem )
42² = S²+ S²
1764 = 2S²
S² = 1764 / 2
S² = 882
area of a square = S×S
= S²
therefore area of square with diagonal 42cm = 882cm²
22. solution :
Circumference of the circle = 44cm
to find it's radius and diameter,
circumference of a circle = 2πr
44 = 2× 22/7 × r
44 × 7 = 2× 22× r
44 × 7 = 44 × r
r = 44×7 / 44
r = 7
therefore, radius = 7cm
diameter = 2r
= 2 × 7
= 14cm
hope it helps !!!
