Question
Length of a chord in a circle of radius 'r' cm, is 24 cm
and distance between chord and centre of the circle is 35 cm. Find the value of (6r - 80).Solution
AB is the chord of circle.
Perpendicular line joining the centre of circle and chord, bisects the chord.
i.e. AC = BC = (24/2) = 12 cm
By Pythagoras theorem,
OA 2 = OC 2 + AC 2
Or, r 2 = 35 2 + 12 2
Or, r 2 = 1225 + 144
Or, r 2 = 1369
So, 'r' = 37
But length cannot be negative. So, 'r' = 37
Required value = 6 X 37 - 80 = 142
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
24.11 Γ 5.98 + 25.03 Γ 3.12 β 34.99 + 96.9 Γ 5.02 =?
A salesman is allowed 32% commission on the total sales by him and a bonus of 3% on the sales over Rs. 15000. If the total earnings of a salesman is Rs....
12.052 + 36.15 Γ 25.45 β 124.15 Γ 15.05 = ? Γ 8.08 β 64.32 Γ 15.98
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
What is the value of "Ο"
25.22 of 359.98% + 499.99 Γ· 25.18 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
? = 19.89% of (29.89 Γ 12.44) + 9.96 Γ 12.022
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