Question

10. Ankita made a face mask using a circular sheet having a diameter of 14 cm. She cut out two circular eyes of radius 1 cm, one triangular nose of base 2 cm and height 1 cm and a mouth of rectangular shape of 1.5 cm by 0.8 cm out of the mask. Find the area of the remaining sheet of the face mask​

Answer 1

Step-by-step explanation:

RADIUS OF CIRCULAR SHEET = 14/2 = 7

AREA OF FULL MASK = 22/7×7²

= 154cm

AREA OF 2 INNER CIRCLE = (22/7×1²)2

= 22/7×2

AREA OF INNER TRIANGLE = 1/2×2×1

= 1cm

AREA OF INNER RECTANGLE = 1.5 ÷ 0.8

= 1.2cm

AREA OF REMAINING CIRCLE = AREA OF OUTER CIRCLE - AREA OF INNER CIRCLES, TRIANGLE AND RECTANGLE

= 154 - (44/7+1+1.2cm)

= 154 - 594/70

$145 \times \frac{13}{70}$

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