A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. U
1 answer:
Answer:
0.9675sq.cm
Step-by-step explanation:
Find a related diagram attached
Area of the shaded region = Area of rectangle - area of semicircle
Area of rectangle = 3cm * 1.5cm
Area of rectangle = 4.5sq.cm
Given
diameter of the semicircle = 3cm
area = πd²/8
Area of the semicircle = 3.14(3)²/8
Area of the semicircle = 3.5325sq.cm
Area of the shaded region = 4.5 - 3.5325
Area of the shaded region = 0.9675sq.cm
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Answer:
The proved is given below.
Step-by-step explanation:
Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB
We have to prove that ∠DAE ≅ ∠CEA
As ∠CEA=∠CBE → (1)
and given ABCD is a parallelogram implies AD||CB
∴ ∠DAE=∠CBE → (2) as these are corresponding angles.
From equation (1) and (2), we get
∠DAE=∠CEA
Hence, ∠DAE is congruent to ∠CEA
Hence Proved
