In the arch ABC, if the chord AB = 24 and the height CD = 6, what is the radius of the circle where the arch is located?

In the arch ABC, if the chord AB = 24 and the height CD = 6, what is the radius of the circle where the arch is located?

In the arch ABC, if the chord AB = L = 24 and the height CD = H = 6, what is the radius r of the circle where the arch is located?
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=6/2+24^2/(8*6)
=15

The arc length is 15.7 cm and the radius of the circle is 20 cm. The fan-shaped area enclosed by the arc length and the two radii is () square cm

Sector area = 1 / 2 * 15.7 * 20 = 157 square centimeter

If the arc length of a sector is 2 cm and the radius of the circle is 1 cm, the area of the sector is 2 cm______ square centimetre

S=1/2 * lr
(L is the arc length, R is the radius)
=1/2 * 2*1
=π (square centimeter) ≈ 3.14 (square centimeter)
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The circle is divided into several parts and flattened into an approximate rectangle. It is known that the length of the rectangle is 6.42cm more than the width. What is the area of the circle

Let π = 3.14, radius r, length 3.14r, length 2.14r more than width, radius 6.42 / 2.14 = 3cm, area 3.14 * (6.42 / 2.14 ^) 2 = 28.26cm ^ 2

Divide a circle into several parts, cut along its radius, and form an approximate rectangle. The length of the rectangle is 6.28cm. What is the area of the original circle?
This is the second question. How many pieces of 6 cm in diameter can be cut on a 1-meter-long, 6-decimeter-wide rectangular cardboard?

1. 6.28 △ 3.14 = 2 cm radius
Area: 3.14 × 2 & # 178; = 12.56 square centimeter
2. 1m = 100cm, 6dm = 60cm
100÷6=16…… 4 cm
60÷6=10
Shear: 16 × 10 = 160

A circle is divided into 64 small sectors on average, and then put together into an approximate rectangle. The perimeter is increased by 10 cm. What is the perimeter and area of this rectangle
(formula)

I think the increased perimeter is actually the diameter of the circle, so the radius r = 5cm
Circumference of rectangle = circumference of circle + 10 = 10 π + 10
Area = area of circle = π R ^ 2 = 25 π
I hope there is no mistake~

Divide a circle into several small sectors, and then put them together into an approximate rectangle. The length of the rectangle is 6.28 decimeters, and the area of the circle should be calculated

The degree of the center angle of the circle is 60 degrees, and the area of the sector with a radius of 4

S=πr²*(60°/360°)=3.14*4²*1/6≈8.37

Draw a square in a circle of 6cm in diameter. What's the area and how to calculate it

6x6/2=18

Draw the largest square in the circle

As shown in the figure, ABCD is the figure;