Answer:
A-2515.57647469
Step-by-step explanation:
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Answer:
<h2>p = 1</h2>
Step-by-step explanation:
Multiply through by the LCM
The LCM for the equation is 5
That's
We have
2 + 5p = 4 + 3p
Group like terms
5p - 3p = 4 - 2
2p = 2
Divide both sides by 2
We have the final answer as
<h3>p = 1</h3>
Hope this helps you
<em>OB = 3 cm</em>
- Step-by-step explanation:
<em>AO = radius = 5 cm</em>
<em>AB = 8cm/2 = 4 cm</em>
<em>Pythagora</em>
<em>OB² = AO² - AB²</em>
<em>= (5cm)² - (4cm)²</em>
<em>= 25cm² - 16cm²</em>
<em>= 9 cm²</em>
<em>OB = √9cm²</em>
<em>= 3 cm</em>
<u>Area of triangle = (1/2) × Base × Height</u>
Area of bigger triangle = (1/2) × 15 cm × 10 cm
Area of bigger triangle = (1/2) × 150 sq. cm
Area of bigger triangle = 75 sq. cm
Similarly,
Area of smaller triangle = (1/2) × 12 cm × 5 cm
Area of smaller triangle = (1/2) × 60 sq. cm
Area of smaller triangle = 30 sq. cm
Area of shaded region = Area of bigger triangle - Area of smaller triangle
Area of shaded region = 75 sq. cm - 30 sq. cm
Area of shaded region = 45 sq. cm
<u>Answer</u><u> </u><u>:</u>
Area of shaded region in sq. cm = 45
