1) The area of a circle curcumscribed about a regular hexagon is 144 pi. What is the area of the hexagon ?2) find the area of the triangle whose sides measuresqrt(x+y)sqrt(y+z)sqrt(z+x)
@scrabbler If radius is equal to side of hex then i think we will have 6 equilateral traingle (full hexagon) then m getting altitude as sqrt(144-36) =sqrt(108)
now m doing 6 (6 equilateral traingle) * sqrt 3 /4 * 108= 162 sqrt (3) as answer .where did i go wrong ? can u tell ?
@scrabbler If radius is equal to side of hex then i think we will have 6 equilateral traingle (full hexagon) then m getting altitude as sqrt(144-36) =sqrt(108)now m doing 6 (6 equilateral traingle) * sqrt 3 /4 * 108= 162 sqrt (3) as answer .where did i go wrong ? can u tell ?
It should be rt3/4 * side^2 not *ht^2
Are = 1/2 * base * ht Here ht = rt3/2 * side so area = 1/2 * side * rt3/2 * side = rt3 / 4 * side^2 regards scrabbler
123123....(300 digits) is divisible by 11 (either using the fact that divisible by 1001, or by just applying divisibility rule of 11) so let me say it is 11K
Also when divided by 9, it leave a remainder of 6 (since sum of digits is 600 and 600/9 leaves rem 6). So it is of the form 9M+6.
Hence when divided by 99 which is 11 x 9, it should be a number of both these forms (and since the first form 11K occurs at steps of 11 and the second 9M+6 at steps of 9, we will get 1 such number 6, 15, 24, 33, 42, 51 and so on, 33 is the one which also satisfies 11K form. Hence went with 33.... regards scrabbler
