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find the area of the shaded region. Use 3.14 for pi

Find The Area Of The Shaded Region Use 314 For Pi class=

Sagot :

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Answer:

This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.

Step-by-step explanation:

1. Find the area of the right triangle:

a = 14, b = 2r = 8cm

A1 = ab/2 = 112/2 = 56cm²

2. Find the area of the circle:

r = 4 cm

A2 = πr² = 3.14 × 4² = 50.24cm²

3. Divide the area of the circle to get the area of the semi-circle:

A3 = A2/2 = 50.24/2 = 25.12cm²

4. Add the areas of the right triangle and the semi-circle together:

A1 + A3 = 56 + 25.12 = 81.12cm²

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