Which pair of angles are vertical angles?
2 answers:
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Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π =
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × × (3.5)²
48 = Ф/360 × ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Option A is correct.
Step-by-step explanation:
We need ti identify the radius of circle.
The radius of circle is a length of the line from center of the circle to anywhere on the edge of circle. It is also shown in the figure attached.
From the given options, only FE is the line that goes from center of circle to the edge of circle. So, FE is the radius of the circle.
So, Option A is correct.
Keyword: Radius of circle
Learn more about Radius of circle at:
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