how to set a min spawn distance (Random.insideUnitCircle)?

I’m using unity 3d but I am using inside unit CIRCLE because I only want these objects to spawn on the XY plane.

I have this object a player can control and it spawns other objects in a fixed radius around itself which is what I want but sometimes the objects spawn on the player object, this is a problem because then the player object takes damage so basically I want a zone around it where objects wont spawn.

here is what I have right now (as you can see there are errors with Random.Range but without that and with just random.insideunitcircle it works fine with the issues mentioned above)
using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class Spawner : MonoBehaviour {
    public GameObject orbiter;
    public float distance = 50f;
    public float spawnTime = 5f;
    public float minDistance = 20f;
	// Use this for initialization
	void Start () {
        Instantiate(orbiter, Random.insideUnitCircle*distance, transform.rotation);
	// Update is called once per frame
	void Update () {
        spawnTime -= Time.deltaTime;
        if (spawnTime <= 0)
            Instantiate(orbiter, Random.Range(Random.insideUnitCircle.Normalize * minDistance, Random.insideUnitCircle * distance) , transform.rotation);
            spawnTime = 5f;

For y axis use

Quaternion.Euler(0,Random.Range(0,360),0) * new Vector2(0,1) * Random.Range(minDist, maxDist)  ;

For x axis just change the rotation and the vector accordingly