Question

may someone tell me about your day it good or not explain it properly ok​

Answer 1

Answer:

Area of a semi circle = 1/2 πr²

Area of a semi circle = 1/2 π(5)² = 25π/2

OP = 10 cm

OQ = 10 cm (radius)

PQ = 5 + 5 = 10 cm

Since all the length are equal, it is an equilateral triangle

Area of an an equilateral triangle = √3/4 (side)²

Area = √3/4 (10)²

It is an equilateral triangle

⇒∠POQ = 60º

Area of the sector = 60/360 x π(10)²

Area = 50π/3

Find the area of the segment PAQ:

Area of the segment = Area of the sector - Area of the triangle

Area = 50π/3 - 25√3

Area = 25(2π/3 - √3)

Find the area of the shaded region:

Area = 25π/2 - 25(2π/3 - √3)

Area = 25(π/2 - 2π/3 + √3)

Area = 25( √3 - π/6) [ Shown ]

Answer 2

From a deck of cards, 10 cards are picked at random and shuffled. The cards are as follows:

6, 5, 3, 9, 7, 6, 4, 2, 8, 2

Find the probability of picking a card having value more than 5 and find the probability of picking a card with an even number on it.