The circle with center O has two chords AC and EF which are of same length 9.07.
OD and OB are the two perpendiculars drawn from the center O to the two chords AC and EF .It represents the distance of the chords from the centre.
The circle theorem states: congruent chords are equidistant from the center.
OD is congruent to OB.
Option A is the right answer.
The answer is the second choice, or B; 240 ft^2.
You have to find the area of all four triangles and just add those all together.
Two of the triangles have an area of
5*16=80
Multiply that by two
80*2=160
The other two smaller triangles have an area of
8*5=40
Multiply that by 2 also
40*2=80
Add 160+80 and the answer is 240.
Area is length * width
Take the square root of 200 which is approximately 14.14
<u>Answer and explanation</u>
(1+sinθ)(1-sinθ)=cos²θ
We are to prove that the left hand side is equal to the right hand side.
(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)
= 1 - sinθ + sinθ - sin²θ
= 1 - sin²θ
From the trigonometric identity sin²θ + cos²θ = 1,
1 - sin²θ = cos²θ
