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2 years ago

Pls help bromeo’s

Mathematics

1 answer:

Viefleur [7K]2 years ago

3 0

Answer:

946.19 cm²

Step-by-step explanation:

Ok, we are going to split the shape into the semi-circle and the trapezoid:

<h3>Semi-Circle:</h3>

Here's the formula for the area circle: πr²

Because the semi-circle is just half of a circle, the area of a semi-circle :

(πr²) ÷2

Step 1: Input Information

The radius (r) is 1/2 the diameter (a) of the circle

Radius = 1/2(24) = 12

Now we have enough info to solve for the Area

Step 2: Solve for Area

A = (12²π) ÷2

A = (144π) ÷2

A = 72π

A ≈ 226.19

Area semi-circle is 226.19 cm²

<h3>Trapezoid</h3>

The formula for the area of a trapezoid is : h(b1 + b2) ÷ 2

The height (h) over here is c, or 24 cm

The base 1 (b1) is a, or 24 cm

The base 2 (b2) is b, 36 cm

Step 1: Input Information

Our new equation becomes:

A = c(a + b) ÷ 2

A = 24(24 + 36) ÷2

Step 2: Solve for area

A = 24(24 + 36) ÷ 2

A = 24(60) ÷ 2

A = 24(30)

A = 720

Area of the trapezoid is 720 cm²

<h3>Total Area:</h3>

Now, we just simply add the two values together

226.19 cm² + 720 cm² = 946.19 cm²

-Chetan K

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