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UkoKoshka [18]
3 years ago
15

What is the area of the green shaded part?​

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Answer:

7.74 \:  {cm}^{2}

Step-by-step explanation:

Area of the green shaded part

= Area of square with side 6 cm - Area of circle with radius (6/2=3) 3 cm.

=  {side}^{2}  - \pi {r}^{2}  \\  =  {6}^{2}  -  3.14 \times  {3}^{2}  \\  = 36 - 28.26 \\  = 7.74 \:  {cm}^{2}

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_____

<em>Additional comment</em>

The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:

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