In design A, what is the area of each part of the brooch?

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Solution

Q.
A brooch is a small piece of jewelry that features a pin on the back, allowing it to be fastened to a dress, blouse, or coat. Below are designs for some brooches.

Design A: Brooch A is crafted from silver wire in the shape of a circle with a diameter of 28 mm. The wire is also used to create 4 diameters, dividing the circle into 8 equal parts.

Design B: Brooch B is made with two colors, gold and silver. The outer portion is made of gold. The circumference of the silver section is 44 mm, and the gold section is uniformly 3 mm wide.

Based on the above information answer the following questions:

(ii) In design A, what is the area of each part of the brooch

1 $77 m m^{2}$

2 $55 m m^{2}$

3 $70 m m^{2}$

4 $72 m m^{2}$

Ans.
(1)

Area of each part of brooch

$= \frac{1}{8} (Area of the circle) = (\frac{1}{8} \times \frac{22}{7} \times 14^{2}) {mm}^{2} = 77 m m^{2}$

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