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kupik [55]
3 years ago
6

If angle AEB has its vertex on the center of a circle and its endpoints on the circle, what is it?

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
1. Vertex E is the center of the circle, A and B are on the circle.

2. Any angle with these properties (i. E is center, AE and AB are radii) is called a central angle.

3. Check the picture. 

4. An important property of these angles is that the measure of the arc AB = m(AEB)

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Find the area of the shaded region. Round the the nearest tenth.
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Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = \frac{\theta}{360^{\circ} }\pi r^2

Area of sector = \frac{123}{360} \times 3.14 \times (18.6)^2

Area of sector = 371.157 m^2

Area of triangle = \frac{1}{2} \times a \times b \times Sin x

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = \frac{1}{2} \times 18.6 \times 18.6 \times Sin 123

Area of triangle = 145.073 m^2

So, Area of shaded region = Area of sector - Area of triangle

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                                            =226.084 m^2

Hence the area of the shaded region is 226.084 sq.m.

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3 years ago
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Answer:

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answer is 12.4

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