What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m
Answers
height = 6m
chord = 20 m
We need to find the radius of the circle.
20 m = 2 √ [ 6m( 2 x radius - 6 m ) ]
20 m / 2 = 2 √[ 6m( 2 x radius - 6 m ) ] / 2
10 m = √ [ 6m( 2 x radius - 6 m ) ]
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ²
100 m² = 6 m( 2 x radius - 6 m )
100 m² = 12 m x radius - 36 sq m
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m²
136 m² = 12 m x radius
136 m² / 12 m = 12 m x radius / 12 m
11.333 m = radius
the area beneath an arc:
Area = r² x arc cosine [ ( r - h ) / r ] - ( r - h ) x √( 2 x r x h - h² ).
r² = (11.333 m)² = 128.444 m²
r - h= 11.333 m - 6 m = 5.333 m
r * h = 11.333 m x 6 m = 68 m²
Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x √[ 2 x 68 m² - 36 m² ]
Area = 128.444 m² x arc cosine [ 0.4706 ] - 5.333 m x √ [ 100m² ]
Area = 128.444 m² x 1.0808 radians - 5.333 m x 10 m
Area = 138.828 m² - 53.333 m²
Area = 85.4 m²
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Answers
An expression equivalent to 3/4(5z+16) is 15/4z + 12.
Given is an expression 3/4(5z+16), we need to find the equivalentexpression,
An equivalent expression to 3/4(5z+16) can be obtained by distributing the fraction 3/4 to both terms inside the parentheses.
Here's the expression:
(3/4) x (5z + 16)
To simplify further, you can multiply the fraction 3/4 by each term inside the parentheses:
(3/4) x 5z + (3/4) x 16
This simplifies to:
15/4z + 12
Therefore, an expression equivalent to 3/4(5z+16) is 15/4z + 12.
Learn more about equivalent expression click;
#SPJ6
3/4*5z + 3/4*16
3.75z+12
An equation that is equivalent to that equation is :- 3.75z+12
Answers
16.8. dhsjdjdjdjdjdjdjdhd
Answer:
Volume = 16.8
Step-by-step explanation:
v=r²h/3
v=2²4/3
v=16/3
v=16.755
Answers
set x=0
y=2(0+3)(0-4)
y=2*3*-4
y=-24
y intecept is -24
Answers
Answer:
x + 4
Step-by-step explanation:
Equation:-
1/3 (3x+12)
=> 1/3×3x + 1/3×12
=> x + 4
Answer:
x+4
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
Answers
Answers
Answer:
use distance formula and solve it
Step-by-step explanation:
this formula is in co ordinate geometry class 10 ncert book
Answer:
5 sqrt(10) square units
Step-by-step explanation:
The coordinates of the points A, B, and C are (-6,-2), (2,-8), and (-4,-6), respectively.
To find the area of a triangle, we can use the following formula:
Area of a triangle = 1/2 * base * height
We can use the distance formula to find the length of the base, which is AB:
Substituting the coordinates of A and B, we get:
Now, we need to find the height of the triangle. The height of a triangle is the perpendicular distance from a vertex to the opposite base. In this case, we can draw a perpendicular line from C to AB:
[Image of triangle ABC with line segment CD drawn perpendicular to AB]
The length of CD is the height of the triangle. We can use the distance formula to find the length of CD:
Now, we can find the area of the triangle:
Area of triangle ABC = 1/2 * base * height = 1/2 * 10 * sqrt(10) = 5 * sqrt(10)
Therefore, the area of triangle ABC is 5 square roots of 10 square units.
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