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Varvara68 [4.7K]
3 years ago
12

How do you find the question mark on #4?

Mathematics
1 answer:
kiruha [24]3 years ago
5 0
64÷2 =32
90-32=58
58+58=116
360-116=244
?=244°
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- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

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Substitute the values in:

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Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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