The area of a circle uses the radius of a circle, which is 1/2 the diameter.
In the calculation the radius is squared.
Since the diameter of the larger circle is twice as large the radius would be 2 times.
2 squared would be: 2^2 = 4
This means the area of the larger circle is 4 times larger which would make the ratio 4:1
Answer:
360 cm^2
Step-by-step explanation:
length x width x height
6 x 6 x 10
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
- a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°
- b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
- c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,
Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
- d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
Answer:
<h2> 7.3%</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest to get the rate of return;
Simple Interest = Principal * Rate * Time/100
Given Principal = $450,
Time (in years) = 1 year
Simple interest = $32.75
Rate (in %) =?
Substituting the given values in the given formula to get the rate;
32.75 = 450*1*R/100
450R = 3275
R = 3,275/450
R = 7.3%
The rate of return is 7.3%