Find the measure of ∠X

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

Answer:

7) 65°
8) 25°

Step-by-step explanation:

<u>Question 7</u>

Angle formed by 2 chords is half of the sum of the intercepted arcs

x = 1/2(72° + 58°) = 1/2(130°) = 65°

<u>Question 8</u>

Angle formed by 2 secants is half of the difference of the intercepted arcs

x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°

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Find the area of the shaped region

BigorU [14]

Answer:

Assuming π is represented by 3.14, the correct answer is $50.24m^2$ .

Step-by-step explanation:

Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is $\pi r^2$ , where r is the radius of the circle. Since the radius of the shaded circle is $4m$ , you can infer that the area of the shaded region would be $4^2 * 3.14$ = $16*3.14$ = $50.24m^2$ .