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Answer:
A ) The value of x for the given circle with chords and center is 8.3
B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082
Step-by-step explanation:
Given two figures :
<u>For Figure first </u>
A circle with center y , having two chords FM and NM
FM = 5 x
MN = 2 x + 25
Now from theorem of circle ,
Chords equidistant from center of circle are equal in length
I.e distance of chord MN from center y and distance of FM from center y are equal
So, FM = MN
Or, 5 x = 2 x + 25
Or, 5 x - 2 x = 25
Or, 3 x = 25
∴ x = = 8.33
<u>For figure second</u>
The length of two adjacent chords of circle is 1.2 cm and 0.5 cm
Let the center of circle = O
Length of chord AB = 1.2 cm
Length of chord BC = 0.5 cm
As both chords are at 90° to each other
So The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
∴ The Length of diameter of circle AC = 1.3 cm
So, Circumference of circle =
Or, Circumference of circle = 3.14 × 1.3
∴ Circumference of circle = 4.082 cm
Hence,
A ) The value of x for the given circle with chords and center is 8.3
B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer
1.
or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):
2.