The arc length of the semicircle is 15.7
<h3>Calculating Arc length </h3>
From the question, we are to determine the arc length of the semicircle
Arc length can be determined by using the formula,
Arc length = θ/360° × 2πr
Where θ is the angle subtended by the arc
and r is the radius of the circle
In the given diagram,
θ = 180°
and r = 10/2
r = 5
Thus,
The arc length of the semicircle = 180°/360° ×2×3.14×5
The arc length of the semicircle = 1/2×2×3.14×5
The arc length of the semicircle = 15.7
Hence, the arc length of the semicircle is 15.7
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Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = 
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = 
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = 
= 210.44 square units
≈ 210.4 square units
Answer:
55
Step-by-step explanation:
make each mixed number an improper fraction:
8 1/4 = 33/4 6 2/3 = 20/3
then multiply these two improper fractions:
660/12
and lastly simplify!!
ANSWER: 55
Answer: -1
Step-by-step explanation:
x is the slope and the value of x is negative one.