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2 years ago

Hey please answer asap!

Mathematics

2 answers:

nataly862011 [7]2 years ago

5 0

Answer:

measure of major arc BEA = 224.4° Option D

Step-by-step explanation:

Given that, measure of inscribed angle ∠BEA = 67.8°

Firstly we will find the central angle.

Suppose O is the center of given circle

So, ∠AOB = 2∠AEB

∠AOB = 135.6°

The measure of arc AB is same as the measure of its central angle.

So, measure of AB arc = 135.6°

Now complete circle measure = 360

Measure of major arc AEB = 360° - measure of arc AB

= 360° -135.6°

= 224.4°

That's the final answer.

worty [1.4K]2 years ago

5 0

Answer:

measure of major arc BEA = 224.4° Option D

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<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7

Area of rectangle 1 = 8.68 sq.in

$\Rightarrow FH \times HI=8.68$

$\Rightarrow EB \times HI=8.68$ (∵ sides of the rectangle 2)

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$\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48$ (∵ sides of the rectangle 1)

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$\Rightarrow BH=2.3$ (∵ sides of the rectangle 2)

$BC = BH+HI+IC$

$\Rightarrow 11.7= 2.3+3.1+IC$

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