Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
=
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
Step-by-step explanation:
In order for us to find the circumference, we need to find the radius from the given area by rearranging the area formula.
Now that we have the radius, we can find the circumference.
So, when given 113.1 in sq for the area, the circumference of the circle is 37.68 in.
Answer:
190.684
Step-by-step explanation:
To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs
, 1
, 1 1
2, <u>9</u> 2
9 261
38, <u>0</u> 2 60
0 0
.
380, 6 26000
, 6 22800
3806, 8 320000
, 8 304480
38068, 4 1552000
,4
Which gives 190.684
3 63 60
We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1
We have 1 * 1 = 1
We subtract it from the 3 to get 2
We add the 1's to get 2
We bring down the next pair which is 63 to form the next dividend, 263
We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261
We continue till we arrive at the vertical paired numbers which is 190.684.