The Circle
A circle is a round-shaped figure that has no corner or edges. It is a closed, two-dimensional curved shape. It is a set of all points in the plane that are a fixed point (the centre). Any interval joining a point on the circle to the centre is called a radius.

An interval joining two points on the circle is called a chord. A chord that passes through the centre is called a diameter. Since a diameter consist of two radii joined at their endpoint, every diameter has length equal to twice the radius.

A line that cuts a circle at two distinct point is called a secamt. Thus a chord is the interval cut off by a secant passing through the centre of a circle centre.

5 facts about bats?

Here are some facts about bats:

1)Flight: Bats are the only mammals that can fly.

2)Species: There are over 1,400 species of bats worldwide.

3)Habitat: Bats live on almost every continent, from the Arctic to Argentina. They are well-adapted to urban environments.

4)Diet: Most bats eat insects, but some tropical bats also eat fruit, frogs, fish, and blood.

5)Echolocation: Bats use echolocation to navigate and hunt.

6)Role in ecosystems: Bats are important pollinators, seed dispersers, and natural pest controls.

7)Blood-sucking: Only three bat species are blood-suckers, and they don't actually suck blood. Instead, they use their teeth to make small cuts in the skin of sleeping animals and drink the blood that flows out.

8)Paternal lactation: Male Dyak's fruit bats can produce milk from their mammary glands to feed their young.

9)Related to humans: Bats are more closely related to humans than they are to mice.

10)Order: All bats belong to the order Chiroptera, which means "hand wing" in Greek.

11)Megabats and microbats: Bats are separated into two categories: megabats and microbats. Flying foxes are the largest megabats and can have a wingspan of up to 6 feet.

Equation of a Circle
Equation of a circle with centre (a,b) and radius r.



PR = x - a, PQ = r

QR = y - b

Since ΔPQR is the right angle triangle, we have: PQ2 = PR2 + QR2

r2 = (x - a)2 + (y - b)2

if the center of the circle is the origin (0, 0), the equation becomes x2 + y2 = r2

General Equation of a Circle

From (x - a)2 + (y - b)2 = r2

r2 - 2ax + a2 + y2 - 2by + b2 - r2 = 0

x2 + y2 - 2ax - 2by + a2 + b2 - r2 = 0

The above equation can be written as x2 + y2 + 2gx + 2fy + c = 0

Where a = -g, b = -f, c = -a2 + b2 - r2

Hence: x2 + y2 + 2gx + 2fy + c = 0 is called the general equation of a circle.

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Jaguar

The jaguar (Panthera onca) is a large cat species and the only living member of the genus Panthera that is native to the Americas. With a body length of up to 1.85 m (6 ft 1 in) and a weight of up to 158 kg (348 lb), it is the biggest cat species in the Americas and the third largest in the world. Its distinctively marked coat features pale yellow to tan colored fur covered by spots that transition to rosettes on the sides, although a melanistic black coat appears in some individuals. The jaguar's powerful bite allows it to pierce the carapaces of turtles and tortoises, and to employ an unusual killing method: it bites directly through the skull of mammalian prey between the ears to deliver a fatal blow to the brain.