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3 years ago

If the radius of the circle is 12 inches, the area of the sector contained by the minor arc and two radii is what?

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

113.14 Inches²

Step-by-step explanation:

The area of a sector A contain by the minor arc of a circle is given as

A = Ф°/360 * πr²

Where Ф is the angle formed in the arc, π is a constant given as 22/7 and r is the radius of the circle.

Given that the minor arc is contained by two radii, the angel between them is 90° hence, the area of the arc

= 90/360 * 22/7 * 12²

= 113.14 Inches²

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See attachment for the graphs of LMN and L'M'N

(a) Describe the transformation

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

(b) Lines LL' and MM'

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

(c) Line NN'

Line NN' will assume the same characteristics as lines LL' and MM'