(please I want to cross check my answer.)
(1) From each corner of a square side 4cm a quadrant of radius 1 cm is cut and also a circle of diameter 2cm is cut. find out the remaining portion of the square.
Answers
STEP BY STEP:
GIVEN
SIDE OF SQUARE = 4 cm
RADIUS OF QUADRANT = 1 cm
RADIUS OF THE CIRCLE OF THE DIAMETER
= 2 cm
= r2
= 2/2
= 1 cm
AREA OF ONE QUADRANT = πr2/4
= 22/7×4
= 22/28 cm2
THEN,
AREA OF FOUR QUADRANT = 4(πr2/4)
=4(22/7×4)
=4×22/28
=22/7 cm2
AREA OF CIRCLE = πr2
=22/7
= 22/7 cm2
AREA OF SQUARE ABCD = L2
=4×4
= 16 cm2
NOW,
AREA IF SHADED REGION = AREA OF SQUARE - AREA OF CIRCLE + AREA OF QUADRANT
= 16 - (22/7 + 22/7)
= 16 - 11/7
= 112 - 44/7
= 68/7 cm2.